Lean 4 fork for HoTT-compatible kernel extensions (Path types, transport, HITs). Maintained against upstream leanprover/lean4.
a3ca15d2b2
building upon #3714, this (almost) implements the second half of #3302. The main effect is that we now get a better error message when `rfl` fails. For ```lean example : n+1+m = n + (1+m) := by rfl ``` instead of the wall of text ``` The rfl tactic failed. Possible reasons: - The goal is not a reflexive relation (neither `=` nor a relation with a @[refl] lemma). - The arguments of the relation are not equal. Try using the reflexivity lemma for your relation explicitly, e.g. `exact Eq.refl _` or `exact HEq.rfl` etc. n m : Nat ⊢ n + 1 + m = n + (1 + m) ``` we now get ``` error: tactic 'rfl' failed, the left-hand side n + 1 + m is not definitionally equal to the right-hand side n + (1 + m) n m : Nat ⊢ n + 1 + m = n + (1 + m) ``` Unfortunately, because of very subtle differences in semantics (which transparency setting is used when reducing the goal and whether the “implicit lambda” feature applies) I could not make this simply the only `rfl` implementation. So `rfl` remains a macro and is still expanded to `eq_refl` (difference transparency setting) and `exact Iff.rfl` and `exact HEq.rfl` (implicit lambda) to not break existing code. This can be revised later, so this still closes: #3302. A user might still be puzzled *why* to terms are not defeq. Explaining that better (“reduced to… and reduces to… etc.”) would also be great, but that’s not specific to `rfl`, so better left for some other time. |
||
|---|---|---|
| .github | ||
| doc | ||
| images | ||
| nix | ||
| releases_drafts | ||
| script | ||
| src | ||
| stage0 | ||
| tests | ||
| .gitattributes | ||
| .gitignore | ||
| .ignore | ||
| CMakeLists.txt | ||
| CMakePresets.json | ||
| CODEOWNERS | ||
| CONTRIBUTING.md | ||
| debug.log | ||
| flake.lock | ||
| flake.nix | ||
| lean-toolchain | ||
| lean.code-workspace | ||
| LICENSE | ||
| LICENSES | ||
| README.md | ||
| RELEASES.md | ||
This is the repository for Lean 4.
About
- Quickstart
- Homepage
- Theorem Proving Tutorial
- Functional Programming in Lean
- Manual
- Release notes starting at v4.0.0-m3
- Examples
- External Contribution Guidelines
- FAQ
Installation
See Setting Up Lean.
Contributing
Please read our Contribution Guidelines first.
Building from Source
See Building Lean (documentation source: doc/make/index.md).