Pantograph/Pantograph/Tactic/Prograde.lean

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/- Prograde (forward) reasoning tactics -/
import Lean
open Lean
namespace Pantograph.Tactic
private def mkUpstreamMVar (goal: MVarId) : MetaM Expr := do
Meta.mkFreshExprSyntheticOpaqueMVar (← goal.getType) (tag := ← goal.getTag)
/-- Introduces a fvar to the current mvar -/
def define (mvarId: MVarId) (binderName: Name) (expr: Expr): MetaM (FVarId × MVarId) := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.define
let type ← Meta.inferType expr
Meta.withLetDecl binderName type expr λ fvar => do
let mvarUpstream ← mkUpstreamMVar mvarId
mvarId.assign $ ← Meta.mkLetFVars #[fvar] mvarUpstream
pure (fvar.fvarId!, mvarUpstream.mvarId!)
def evalDefine (binderName: Name) (expr: Syntax): Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let expr ← goal.withContext $ Elab.Term.elabTerm (stx := expr) (expectedType? := .none)
let (_, mvarId) ← define goal binderName expr
Elab.Tactic.replaceMainGoal [mvarId]
structure BranchResult where
fvarId?: Option FVarId := .none
branch: MVarId
main: MVarId
def «have» (mvarId: MVarId) (binderName: Name) (type: Expr): MetaM BranchResult := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.have
let lctx ← MonadLCtx.getLCtx
-- The branch goal inherits the same context, but with a different type
let mvarBranch ← Meta.mkFreshExprMVarAt lctx (← Meta.getLocalInstances) type
-- Create the context for the `upstream` goal
let fvarId ← mkFreshFVarId
let lctxUpstream := lctx.mkLocalDecl fvarId binderName type
let mvarUpstream ←
Meta.withLCtx lctxUpstream #[] do
Meta.withNewLocalInstances #[.fvar fvarId] 0 do
let mvarUpstream ← mkUpstreamMVar mvarId
--let expr: Expr := .app (.lam binderName type mvarBranch .default) mvarUpstream
mvarId.assign $ ← Meta.mkLambdaFVars #[.fvar fvarId] mvarUpstream
pure mvarUpstream
return {
fvarId? := .some fvarId,
branch := mvarBranch.mvarId!,
main := mvarUpstream.mvarId!,
}
def evalHave (binderName: Name) (type: Syntax): Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let nextGoals: List MVarId ← goal.withContext do
let type ← Elab.Term.elabType (stx := type)
let result ← «have» goal binderName type
pure [result.branch, result.main]
Elab.Tactic.replaceMainGoal nextGoals
def «let» (mvarId: MVarId) (binderName: Name) (type: Expr): MetaM BranchResult := mvarId.withContext do
mvarId.checkNotAssigned `Pantograph.Tactic.let
let lctx ← MonadLCtx.getLCtx
-- The branch goal inherits the same context, but with a different type
let mvarBranch ← Meta.mkFreshExprMVarAt lctx (← Meta.getLocalInstances) type (userName := binderName)
assert! ¬ type.hasLooseBVars
let mvarUpstream ← Meta.withLetDecl binderName type mvarBranch $ λ fvar => do
let mvarUpstream ← mkUpstreamMVar mvarId
mvarId.assign $ ← Meta.mkLetFVars #[fvar] mvarUpstream
pure mvarUpstream
return {
branch := mvarBranch.mvarId!,
main := mvarUpstream.mvarId!,
}
def evalLet (binderName: Name) (type: Syntax): Elab.Tactic.TacticM Unit := do
let goal ← Elab.Tactic.getMainGoal
let type ← goal.withContext $ Elab.Term.elabType (stx := type)
let result ← «let» goal binderName type
Elab.Tactic.replaceMainGoal [result.branch, result.main]
end Pantograph.Tactic