Add proof variable delta; Bump version to 0.2.1
parent
7771408de1
commit
b2ba26528d
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@ -7,7 +7,7 @@ import Pantograph
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-- Main IO functions
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open Pantograph
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unsafe def loop : Subroutine Unit := do
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unsafe def loop : MainM Unit := do
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let command ← (← IO.getStdin).getLine
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if command.trim.length = 0 then return ()
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match parse_command command with
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133
Pantograph.lean
133
Pantograph.lean
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@ -15,7 +15,10 @@ structure State where
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proofTrees: Array ProofTree := #[]
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-- State monad
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abbrev Subroutine := ReaderT Context (StateT State Lean.Elab.TermElabM)
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abbrev MainM := ReaderT Context (StateT State Lean.Elab.TermElabM)
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-- For some reason writing `CommandM α := MainM (Except ... α)` disables certain
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-- monadic features in `MainM`
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abbrev CR α := Except Commands.InteractionError α
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/-- Parse a command either in `{ "cmd": ..., "payload": ... }` form or `cmd { ... }` form. -/
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def parse_command (s: String): Except String Commands.Command := do
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@ -32,77 +35,62 @@ def parse_command (s: String): Except String Commands.Command := do
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return { cmd := s.take offset, payload := payload }
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| .none => throw "Command is empty"
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def execute (command: Commands.Command): Subroutine Lean.Json := do
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def execute (command: Commands.Command): MainM Lean.Json := do
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let run { α β: Type } [Lean.FromJson α] [Lean.ToJson β] (comm: α → MainM (CR β)): MainM Lean.Json :=
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match Lean.fromJson? command.payload with
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| .ok args => do
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match (← comm args) with
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| .ok result => return Lean.toJson result
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| .error ierror => return Lean.toJson ierror
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| .error error => pure $ error
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match command.cmd with
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| "options.set" =>
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match Lean.fromJson? command.payload with
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| .ok args => options_set args
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| .error x => return errorJson x
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| "options.print" =>
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match Lean.fromJson? command.payload with
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| .ok args => options_print args
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| .error x => return errorJson x
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| "catalog" =>
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match Lean.fromJson? command.payload with
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| .ok args => catalog args
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| .error x => return errorJson x
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| "inspect" =>
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match Lean.fromJson? command.payload with
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| .ok args => inspect args
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| .error x => return errorJson x
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| "clear" => clear
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| "expr.echo" =>
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match Lean.fromJson? command.payload with
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| .ok args => expr_echo args
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| .error x => return errorJson x
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| "proof.start" =>
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match Lean.fromJson? command.payload with
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| .ok args => proof_start args
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| .error x => return errorJson x
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| "proof.tactic" =>
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match Lean.fromJson? command.payload with
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| .ok args => proof_tactic args
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| .error x => return errorJson x
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| "proof.printTree" =>
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match Lean.fromJson? command.payload with
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| .ok args => proof_print_tree args
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| .error x => return errorJson x
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| "options.set" => run options_set
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| "options.print" => run options_print
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| "catalog" => run catalog
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| "inspect" => run inspect
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| "clear" => run clear
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| "expr.echo" => run expr_echo
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| "proof.start" => run proof_start
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| "proof.tactic" => run proof_tactic
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| "proof.printTree" => run proof_print_tree
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| cmd =>
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let error: Commands.InteractionError :=
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{ error := "unknown", desc := s!"Unknown command {cmd}" }
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return Lean.toJson error
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where
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errorI (type desc: String) := Lean.toJson (
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{ error := type, desc := desc }: Commands.InteractionError)
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errorJson := errorI "json"
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errorI (type desc: String): Commands.InteractionError := { error := type, desc := desc }
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errorIndex := errorI "index"
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-- Command Functions
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options_set (args: Commands.OptionsSet): Subroutine Lean.Json := do
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options_set (args: Commands.OptionsSet): MainM (CR Commands.OptionsSetResult) := do
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let state ← get
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let options := state.options
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set { state with
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options := {
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printExprPretty := args.printExprPretty?.getD true,
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printExprAST := args.printExprAST?.getD true,
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proofVariableDelta := args.proofVariableDelta?.getD false
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-- FIXME: This should be replaced with something more elegant
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printExprPretty := args.printExprPretty?.getD options.printExprPretty,
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printExprAST := args.printExprAST?.getD options.printExprAST,
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proofVariableDelta := args.proofVariableDelta?.getD options.proofVariableDelta,
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printAuxDecls := args.printAuxDecls?.getD options.printAuxDecls,
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printImplementationDetailHyps := args.printImplementationDetailHyps?.getD options.printImplementationDetailHyps
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}
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}
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return Lean.toJson ({ }: Commands.OptionsSetResult)
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options_print (_: Commands.OptionsPrint): Subroutine Lean.Json := do
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return Lean.toJson (← get).options
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catalog (_: Commands.Catalog): Subroutine Lean.Json := do
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return .ok { }
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options_print (_: Commands.OptionsPrint): MainM (CR Commands.OptionsPrintResult) := do
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return .ok (← get).options
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catalog (_: Commands.Catalog): MainM (CR Commands.CatalogResult) := do
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let env ← Lean.MonadEnv.getEnv
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let names := env.constants.fold (init := #[]) (λ acc name info =>
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match to_filtered_symbol name info with
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| .some x => acc.push x
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| .none => acc)
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return Lean.toJson <| ({ symbols := names }: Commands.CatalogResult)
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inspect (args: Commands.Inspect): Subroutine Lean.Json := do
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return .ok { symbols := names }
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inspect (args: Commands.Inspect): MainM (CR Commands.InspectResult) := do
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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let name := str_to_name args.name
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let info? := env.find? name
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match info? with
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| none => return errorIndex s!"Symbol not found {args.name}"
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| none => return .error $ errorIndex s!"Symbol not found {args.name}"
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| some info =>
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let module? := env.getModuleIdxFor? name >>=
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(λ idx => env.allImportedModuleNames.get? idx.toNat) |>.map toString
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@ -111,37 +99,37 @@ def execute (command: Commands.Command): Subroutine Lean.Json := do
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| .some false, _ => .none
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| .none, .defnInfo _ => info.value?
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| .none, _ => .none
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return Lean.toJson ({
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return .ok {
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type := ← serialize_expression state.options info.type,
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value? := ← value?.mapM (λ v => serialize_expression state.options v),
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module? := module?
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}: Commands.InspectResult)
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clear : Subroutine Lean.Json := do
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}
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clear (_: Commands.Clear): MainM (CR Commands.ClearResult) := do
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let state ← get
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let nTrees := state.proofTrees.size
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set { state with proofTrees := #[] }
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return Lean.toJson ({ nTrees := nTrees }: Commands.ClearResult)
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expr_echo (args: Commands.ExprEcho): Subroutine Lean.Json := do
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return .ok { nTrees := nTrees }
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expr_echo (args: Commands.ExprEcho): MainM (CR Commands.ExprEchoResult) := do
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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match syntax_from_str env args.expr with
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| .error str => return errorI "parsing" str
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| .error str => return .error $ errorI "parsing" str
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| .ok syn => do
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match (← syntax_to_expr syn) with
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| .error str => return errorI "elab" str
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| .error str => return .error $ errorI "elab" str
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| .ok expr => do
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try
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let type ← Lean.Meta.inferType expr
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return Lean.toJson <| ({
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return .ok {
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type := (← serialize_expression (options := state.options) type),
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expr := (← serialize_expression (options := state.options) expr)
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}: Commands.ExprEchoResult)
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}
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catch exception =>
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return errorI "typing" (← exception.toMessageData.toString)
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proof_start (args: Commands.ProofStart): Subroutine Lean.Json := do
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return .error $ errorI "typing" (← exception.toMessageData.toString)
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proof_start (args: Commands.ProofStart): MainM (CR Commands.ProofStartResult) := do
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let state ← get
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let env ← Lean.MonadEnv.getEnv
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let expr?: Except Lean.Json Lean.Expr ← (match args.expr, args.copyFrom with
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let expr?: Except _ Lean.Expr ← (match args.expr, args.copyFrom with
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| .some expr, .none =>
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(match syntax_from_str env expr with
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| .error str => return .error <| errorI "parsing" str
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@ -157,37 +145,34 @@ def execute (command: Commands.Command): Subroutine Lean.Json := do
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return .error <| errorI "arguments" "At least one of {expr, copyFrom} must be supplied"
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| _, _ => return .error <| errorI "arguments" "Cannot populate both of {expr, copyFrom}")
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match expr? with
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| .error error => return error
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| .error error => return .error error
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| .ok expr =>
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let tree ← ProofTree.create (str_to_name <| args.name.getD "Untitled") expr
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-- Put the new tree in the environment
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let nextTreeId := state.proofTrees.size
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set { state with proofTrees := state.proofTrees.push tree }
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return Lean.toJson ({ treeId := nextTreeId }: Commands.ProofStartResult)
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proof_tactic (args: Commands.ProofTactic): Subroutine Lean.Json := do
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return .ok { treeId := nextTreeId }
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proof_tactic (args: Commands.ProofTactic): MainM (CR Commands.ProofTacticResult) := do
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let state ← get
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match state.proofTrees.get? args.treeId with
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| .none => return errorIndex "Invalid tree index {args.treeId}"
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| .none => return .error $ errorIndex "Invalid tree index {args.treeId}"
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| .some tree =>
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let (result, nextTree) ← ProofTree.execute
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(stateId := args.stateId)
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(goalId := args.goalId.getD 0)
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(tactic := args.tactic) |>.run state.options |>.run tree
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match result with
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| .invalid message => return Lean.toJson <| errorIndex message
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| .invalid message => return .error $ errorIndex message
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| .success nextId? goals =>
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set { state with proofTrees := state.proofTrees.set! args.treeId nextTree }
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return Lean.toJson (
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{ nextId? := nextId?, goals := goals }: Commands.ProofTacticResultSuccess)
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return .ok { nextId? := nextId?, goals? := .some goals }
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| .failure messages =>
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return Lean.toJson (
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{ tacticErrors := messages }: Commands.ProofTacticResultFailure)
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proof_print_tree (args: Commands.ProofPrintTree): Subroutine Lean.Json := do
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return .ok { tacticErrors? := .some messages }
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proof_print_tree (args: Commands.ProofPrintTree): MainM (CR Commands.ProofPrintTreeResult) := do
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let state ← get
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match state.proofTrees.get? args.treeId with
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| .none => return errorIndex "Invalid tree index {args.treeId}"
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| .none => return .error $ errorIndex "Invalid tree index {args.treeId}"
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| .some tree =>
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return Lean.toJson ({parents := tree.structure_array}: Commands.ProofPrintTreeResult)
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return .ok { parents := tree.structure_array }
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end Pantograph
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@ -17,8 +17,11 @@ structure Options where
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printExprAST: Bool := false
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-- When enabled, the types and values of persistent variables in a proof goal
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-- are not shown unless they are new to the proof step. Reduces overhead
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-- TODO: Not implemented yet.
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proofVariableDelta: Bool := false
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-- See `pp.auxDecls`
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printAuxDecls: Bool := false
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-- See `pp.implementationDetailHyps`
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printImplementationDetailHyps: Bool := false
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deriving Lean.ToJson
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abbrev OptionsT := ReaderT Options
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@ -39,8 +42,8 @@ structure Expression where
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structure Variable where
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name: String
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/-- Does the name contain a dagger -/
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isInaccessible: Bool := false
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type: Expression
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isInaccessible?: Option Bool := .none
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type?: Option Expression := .none
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value?: Option Expression := .none
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deriving Lean.ToJson
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structure Goal where
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@ -76,6 +79,8 @@ structure OptionsSet where
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printExprPretty?: Option Bool
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printExprAST?: Option Bool
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proofVariableDelta?: Option Bool
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printAuxDecls?: Option Bool
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printImplementationDetailHyps?: Option Bool
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deriving Lean.FromJson
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structure OptionsSetResult where
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deriving Lean.ToJson
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@ -105,6 +110,8 @@ structure InspectResult where
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module?: Option String
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deriving Lean.ToJson
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structure Clear where
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deriving Lean.FromJson
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structure ClearResult where
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nTrees: Nat
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deriving Lean.ToJson
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@ -135,12 +142,13 @@ structure ProofTactic where
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goalId: Option Nat
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tactic: String
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deriving Lean.FromJson
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structure ProofTacticResultSuccess where
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goals: Array Goal
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nextId?: Option Nat -- Next proof state id
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deriving Lean.ToJson
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structure ProofTacticResultFailure where
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tacticErrors: Array String -- Error messages generated by tactic
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structure ProofTacticResult where
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-- Existence of this field shows success
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goals?: Option (Array Goal) := .none
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-- Next proof state id, if successful
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nextId?: Option Nat := .none
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-- Existence of this field shows failure
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tacticErrors?: Option (Array String) := .none
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deriving Lean.ToJson
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structure ProofPrintTree where
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@ -137,23 +137,35 @@ def serialize_expression (options: Commands.Options) (e: Expr): MetaM Commands.E
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}
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/-- Adapted from ppGoal -/
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def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) : MetaM Commands.Goal := do
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def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) (parentDecl?: Option MetavarDecl)
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: MetaM Commands.Goal := do
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-- Options for printing; See Meta.ppGoal for details
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let showLetValues := True
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let ppAuxDecls := false
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let ppImplDetailHyps := false
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let showLetValues := true
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let ppAuxDecls := options.printAuxDecls
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let ppImplDetailHyps := options.printImplementationDetailHyps
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let lctx := mvarDecl.lctx
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let lctx := lctx.sanitizeNames.run' { options := (← getOptions) }
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Meta.withLCtx lctx mvarDecl.localInstances do
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let rec ppVars (localDecl : LocalDecl) : MetaM Commands.Variable := do
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let ppVarNameOnly (localDecl: LocalDecl): MetaM Commands.Variable := do
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match localDecl with
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| .cdecl _ _ varName _ _ _ =>
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let varName := varName.simpMacroScopes
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return {
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name := toString varName,
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}
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| .ldecl _ _ varName _ _ _ _ => do
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return {
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name := toString varName,
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}
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let ppVar (localDecl : LocalDecl) : MetaM Commands.Variable := do
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match localDecl with
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| .cdecl _ _ varName type _ _ =>
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let varName := varName.simpMacroScopes
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let type ← instantiateMVars type
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return {
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name := toString varName,
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isInaccessible := varName.isInaccessibleUserName,
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type := (← serialize_expression options type)
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isInaccessible? := .some varName.isInaccessibleUserName
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type? := .some (← serialize_expression options type)
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}
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| .ldecl _ _ varName type val _ _ => do
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let varName := varName.simpMacroScopes
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@ -165,17 +177,22 @@ def serialize_goal (options: Commands.Options) (mvarDecl: MetavarDecl) : MetaM C
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pure $ .none
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return {
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name := toString varName,
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isInaccessible := varName.isInaccessibleUserName,
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type := (← serialize_expression options type)
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isInaccessible? := .some varName.isInaccessibleUserName
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type? := .some (← serialize_expression options type)
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value? := value?
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}
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let vars ← lctx.foldlM (init := []) fun acc (localDecl : LocalDecl) => do
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let skip := !ppAuxDecls && localDecl.isAuxDecl || !ppImplDetailHyps && localDecl.isImplementationDetail
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if skip then
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return acc
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else
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let var ← ppVars localDecl
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return var::acc
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let skip := !ppAuxDecls && localDecl.isAuxDecl ||
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!ppImplDetailHyps && localDecl.isImplementationDetail
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if skip then
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return acc
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else
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let nameOnly := options.proofVariableDelta && (parentDecl?.map
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(λ decl => decl.lctx.find? localDecl.fvarId |>.isSome) |>.getD false)
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let var ← match nameOnly with
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| true => ppVarNameOnly localDecl
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| false => ppVar localDecl
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return var::acc
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return {
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caseName? := match mvarDecl.userName with
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| Name.anonymous => .none
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@ -115,9 +115,10 @@ def ProofTree.execute (stateId: Nat) (goalId: Nat) (tactic: String):
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parentGoalId := goalId
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}
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modify fun s => { s with states := s.states.push proofState }
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let parentDecl? := (← MonadMCtx.getMCtx).findDecl? goal
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let goals ← nextGoals.mapM fun mvarId => do
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match (← MonadMCtx.getMCtx).findDecl? mvarId with
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| .some mvarDecl => serialize_goal options mvarDecl
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| .some mvarDecl => serialize_goal options mvarDecl (parentDecl? := parentDecl?)
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| .none => throwError mvarId
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return .success (.some nextId) goals.toArray
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@ -1,5 +1,5 @@
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namespace Pantograph
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def version := "0.2"
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def version := "0.2.1"
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end Pantograph
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@ -6,11 +6,11 @@ namespace Pantograph.Test
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open Pantograph
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def subroutine_step (cmd: String) (payload: List (String × Lean.Json))
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(expected: Lean.Json): Subroutine LSpec.TestSeq := do
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(expected: Lean.Json): MainM LSpec.TestSeq := do
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let result ← execute { cmd := cmd, payload := Lean.Json.mkObj payload }
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return LSpec.test s!"{cmd}" (toString result = toString expected)
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def subroutine_runner (steps: List (Subroutine LSpec.TestSeq)): IO LSpec.TestSeq := do
|
||||
def subroutine_runner (steps: List (MainM LSpec.TestSeq)): IO LSpec.TestSeq := do
|
||||
-- Setup the environment for execution
|
||||
let env ← Lean.importModules
|
||||
(imports := [{module := Lean.Name.str .anonymous "Init", runtimeOnly := false }])
|
||||
|
|
@ -26,7 +26,7 @@ def subroutine_runner (steps: List (Subroutine LSpec.TestSeq)): IO LSpec.TestSeq
|
|||
fileMap := { source := "", positions := #[0], lines := #[1] },
|
||||
options := Lean.Options.empty
|
||||
}
|
||||
let commands: Subroutine LSpec.TestSeq :=
|
||||
let commands: MainM LSpec.TestSeq :=
|
||||
steps.foldlM (λ suite step => do
|
||||
let result ← step
|
||||
return suite ++ result) LSpec.TestSeq.done
|
||||
|
|
@ -45,6 +45,7 @@ def test_option_print : IO LSpec.TestSeq :=
|
|||
let pp? := Option.some "∀ (n : Nat), n + 1 = Nat.succ n"
|
||||
let sexp? := Option.some "(:forall n (:c Nat) ((((:c Eq) (:c Nat)) (((((((:c HAdd.hAdd) (:c Nat)) (:c Nat)) (:c Nat)) (((:c instHAdd) (:c Nat)) (:c instAddNat))) 0) ((((:c OfNat.ofNat) (:c Nat)) (:lit 1)) ((:c instOfNatNat) (:lit 1))))) ((:c Nat.succ) 0)))"
|
||||
let module? := Option.some "Init.Data.Nat.Basic"
|
||||
let options: Commands.Options := {}
|
||||
subroutine_runner [
|
||||
subroutine_step "inspect"
|
||||
[("name", .str "Nat.add_one")]
|
||||
|
|
@ -62,7 +63,7 @@ def test_option_print : IO LSpec.TestSeq :=
|
|||
Commands.InspectResult)),
|
||||
subroutine_step "options.print"
|
||||
[]
|
||||
(Lean.toJson ({ printExprAST := true }:
|
||||
(Lean.toJson ({ options with printExprAST := true }:
|
||||
Commands.OptionsPrintResult))
|
||||
]
|
||||
|
||||
|
|
|
|||
|
|
@ -10,7 +10,7 @@ inductive Start where
|
|||
| copy (name: String) -- Start from some name in the environment
|
||||
| expr (expr: String) -- Start from some expression
|
||||
|
||||
abbrev TestM := StateRefT ProofTree M
|
||||
abbrev TestM := ReaderT Commands.Options StateRefT ProofTree M
|
||||
|
||||
def start_proof (start: Start): M (LSpec.TestSeq × Option ProofTree) := do
|
||||
let env ← Lean.MonadEnv.getEnv
|
||||
|
|
@ -55,7 +55,8 @@ deriving instance DecidableEq, Repr for TacticResult
|
|||
/-- Check the output of each proof step -/
|
||||
def proof_step (stateId: Nat) (goalId: Nat) (tactic: String)
|
||||
(expected: TacticResult) : TestM LSpec.TestSeq := do
|
||||
let result: TacticResult ← ProofTree.execute stateId goalId tactic |>.run {}
|
||||
let options ← read
|
||||
let result: TacticResult ← ProofTree.execute stateId goalId tactic |>.run options
|
||||
match expected, result with
|
||||
| .success (.some i) #[], .success (.some _) goals =>
|
||||
-- If the goals are omitted but the next state is specified, we imply that
|
||||
|
|
@ -70,12 +71,12 @@ def proof_inspect (expected: Array String) : TestM LSpec.TestSeq := do
|
|||
let result := (← get).structure_array
|
||||
return LSpec.test s!"tree structure" (result = expected)
|
||||
|
||||
def proof_runner (env: Lean.Environment) (start: Start) (steps: List (TestM LSpec.TestSeq)): IO LSpec.TestSeq := do
|
||||
def proof_runner (env: Lean.Environment) (options: Commands.Options) (start: Start) (steps: List (TestM LSpec.TestSeq)): IO LSpec.TestSeq := do
|
||||
let termElabM := do
|
||||
let (testSeq, state?) ← start_proof start
|
||||
match state? with
|
||||
| .none => return testSeq
|
||||
| .some state => steps.foldlM (fun tests m => do pure $ tests ++ (← m)) testSeq |>.run' state
|
||||
| .some state => steps.foldlM (fun tests m => do pure $ tests ++ (← m)) testSeq |>.run options |>.run' state
|
||||
|
||||
let coreContext: Lean.Core.Context := {
|
||||
currNamespace := str_to_name "Aniva",
|
||||
|
|
@ -97,7 +98,10 @@ def build_goal (nameType: List (String × String)) (target: String): Commands.Go
|
|||
{
|
||||
target := { pp? := .some target},
|
||||
vars := (nameType.map fun x => ({
|
||||
name := x.fst, type := { pp? := .some x.snd } })).toArray
|
||||
name := x.fst,
|
||||
type? := .some { pp? := .some x.snd },
|
||||
isInaccessible? := .some false
|
||||
})).toArray
|
||||
}
|
||||
|
||||
example: ∀ (a b: Nat), a + b = b + a := by
|
||||
|
|
@ -105,7 +109,7 @@ example: ∀ (a b: Nat), a + b = b + a := by
|
|||
rw [Nat.add_comm]
|
||||
def proof_nat_add_comm (env: Lean.Environment): IO LSpec.TestSeq := do
|
||||
let goal1: Commands.Goal := build_goal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"
|
||||
proof_runner env (.copy "Nat.add_comm") [
|
||||
proof_runner env {} (.copy "Nat.add_comm") [
|
||||
proof_step 0 0 "intro n m"
|
||||
(.success (.some 1) #[goal1]),
|
||||
proof_step 1 0 "assumption"
|
||||
|
|
@ -115,7 +119,7 @@ def proof_nat_add_comm (env: Lean.Environment): IO LSpec.TestSeq := do
|
|||
]
|
||||
def proof_nat_add_comm_manual (env: Lean.Environment): IO LSpec.TestSeq := do
|
||||
let goal1: Commands.Goal := build_goal [("n", "Nat"), ("m", "Nat")] "n + m = m + n"
|
||||
proof_runner env (.expr "∀ (a b: Nat), a + b = b + a") [
|
||||
proof_runner env {} (.expr "∀ (a b: Nat), a + b = b + a") [
|
||||
proof_step 0 0 "intro n m"
|
||||
(.success (.some 1) #[goal1]),
|
||||
proof_step 1 0 "assumption"
|
||||
|
|
@ -145,12 +149,12 @@ def proof_or_comm (env: Lean.Environment): IO LSpec.TestSeq := do
|
|||
caseName? := .some caseName,
|
||||
target := { pp? := .some "q ∨ p" },
|
||||
vars := #[
|
||||
{ name := "p", type := typeProp },
|
||||
{ name := "q", type := typeProp },
|
||||
{ name := "h✝", type := { pp? := .some name }, isInaccessible := true }
|
||||
{ name := "p", type? := .some typeProp, isInaccessible? := .some false },
|
||||
{ name := "q", type? := .some typeProp, isInaccessible? := .some false },
|
||||
{ name := "h✝", type? := .some { pp? := .some name }, isInaccessible? := .some true }
|
||||
]
|
||||
}
|
||||
proof_runner env (.expr "∀ (p q: Prop), p ∨ q → q ∨ p") [
|
||||
proof_runner env {} (.expr "∀ (p q: Prop), p ∨ q → q ∨ p") [
|
||||
proof_step 0 0 "intro p q h"
|
||||
(.success (.some 1) #[build_goal [("p", "Prop"), ("q", "Prop"), ("h", "p ∨ q")] "q ∨ p"]),
|
||||
proof_step 1 0 "cases h"
|
||||
|
|
@ -173,7 +177,7 @@ example (w x y z : Nat) (p : Nat → Prop)
|
|||
simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *
|
||||
assumption
|
||||
def proof_arith_1 (env: Lean.Environment): IO LSpec.TestSeq := do
|
||||
proof_runner env (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)") [
|
||||
proof_runner env {} (.expr "∀ (w x y z : Nat) (p : Nat → Prop) (h : p (x * y + z * w * x)), p (x * w * z + y * x)") [
|
||||
proof_step 0 0 "intros"
|
||||
(.success (.some 1) #[]),
|
||||
proof_step 1 0 "simp [Nat.add_assoc, Nat.add_comm, Nat.add_left_comm, Nat.mul_comm, Nat.mul_assoc, Nat.mul_left_comm] at *"
|
||||
|
|
@ -182,6 +186,25 @@ def proof_arith_1 (env: Lean.Environment): IO LSpec.TestSeq := do
|
|||
(.success .none #[])
|
||||
]
|
||||
|
||||
def build_goal_selective (nameType: List (String × Option String)) (target: String): Commands.Goal :=
|
||||
{
|
||||
target := { pp? := .some target},
|
||||
vars := (nameType.map fun x => ({
|
||||
name := x.fst,
|
||||
type? := x.snd.map (λ type => { pp? := type }),
|
||||
isInaccessible? := x.snd.map (λ _ => false)
|
||||
})).toArray
|
||||
}
|
||||
def proof_delta_variable (env: Lean.Environment): IO LSpec.TestSeq := do
|
||||
let goal1: Commands.Goal := build_goal_selective [("n", .some "Nat")] "∀ (b : Nat), n + b = b + n"
|
||||
let goal2: Commands.Goal := build_goal_selective [("n", .none), ("m", .some "Nat")] "n + m = m + n"
|
||||
proof_runner env { proofVariableDelta := true } (.expr "∀ (a b: Nat), a + b = b + a") [
|
||||
proof_step 0 0 "intro n"
|
||||
(.success (.some 1) #[goal1]),
|
||||
proof_step 1 0 "intro m"
|
||||
(.success (.some 2) #[goal2])
|
||||
]
|
||||
|
||||
def test_proofs : IO LSpec.TestSeq := do
|
||||
let env: Lean.Environment ← Lean.importModules
|
||||
(imports := ["Init"].map (λ str => { module := str_to_name str, runtimeOnly := false }))
|
||||
|
|
@ -192,7 +215,8 @@ def test_proofs : IO LSpec.TestSeq := do
|
|||
(LSpec.group "Nat.add_comm" $ (← proof_nat_add_comm env)) ++
|
||||
(LSpec.group "Nat.add_comm manual" $ (← proof_nat_add_comm_manual env)) ++
|
||||
(LSpec.group "Or.comm" $ (← proof_or_comm env)) ++
|
||||
(LSpec.group "Arithmetic 1" $ (← proof_arith_1 env))
|
||||
(LSpec.group "Arithmetic 1" $ (← proof_arith_1 env)) ++
|
||||
(LSpec.group "Delta variable" $ (← proof_delta_variable env))
|
||||
|
||||
end Pantograph.Test
|
||||
|
||||
|
|
|
|||
Loading…
Reference in New Issue