Leni Aniva c781797898 | ||
---|---|---|
Pantograph | ||
Test | ||
.gitignore | ||
Main.lean | ||
Pantograph.lean | ||
README.md | ||
lake-manifest.json | ||
lakefile.lean | ||
lean-toolchain |
README.md
Pantograph
An interaction system for Lean 4.
Installation
Install elan
and lean4
. Then, execute
lake build
In order to use mathlib
, its binary must also be built
lake build Qq
lake build aesop
lake build std
lake build mathlib
Usage
The binary must be run inside a lake env
environment. i.e. lake env build/bin/pantograph
. The REPL loop accepts commands as single-line JSON inputs
and outputs either an Error:
(indicating malformed command) or a json return
value indicating the result of a command execution. The command can be passed in
one of two formats
command { ... }
{ "cmd": command, "payload": ... }
The list of available commands can be found in Pantograph/Commands.lean
. An
empty command aborts the REPL.
Example: (~5k symbols)
$ lake env build/bin/Pantograph
create {"imports": ["Init"]}
catalog {"envId": 0}
inspect {"envId": 0, "name": "Nat.le_add_left"}
Example with mathlib
(~90k symbols)
$ lake env build/bin/Pantograph
create {"imports": ["Mathlib.Analysis.Seminorm"]}
catalog {"envId": 0}
Example proving a theorem: (alternatively use proof.start {"id": 0, "name": "aa", "copyFrom": "Nat.add_comm", "expr": ""}
) to prime the proof
$ lake env build/bin/Pantograph
create {"imports": ["Init"]}
proof.start {"envId": 0, "expr": "∀ (n m : Nat), n + m = m + n"}
proof.tactic {"treeId": 0, "stateId": 0, "goalId": 0, "tactic": "intro n m"}
proof.tactic {"treeId": 0, "stateId": 1, "goalId": 0, "tactic": "assumption"}
proof.printTree {"treeId": 0}
proof.tactic {"treeId": 0, "stateId": 1, "goalId": 0, "tactic": "rw [Nat.add_comm]"}
proof.printTree {"treeId": 0}
where the application of assumption
should lead to a failure.
Troubleshooting
If lean encounters stack overflow problems when printing catalog, execute this before running lean:
ulimit -s unlimited
Due to a current bug in Lean (which existed in Lean 3), the default value of structures are not honoured when parsing Json's.
Testing
The tests are based on LSpec
. To run tests,
test/all.sh