Equation compiler fails to prove that match is exhaustive
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Description
Prerequisites
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- Check that your issue is not already filed:
https://github.com/leanprover/lean4/issues - Reduce the issue to a minimal, self-contained, reproducible test case.
Avoid dependencies to Mathlib or Batteries. - Test your test case against the latest nightly release, for example on
https://live.lean-lang.org/#project=lean-nightly
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Description
In this code
def g (x : Nat) (hx : x = 0 ∨ x = 1) : Nat :=
match x with
| 0 => 0
| 1 => 1
we get an error message missing cases: (Nat.succ (Nat.succ _)), _. On the other hand, in the code
def g (x : Nat) (hx : x = 0 ∨ x = 1) : Nat :=
match x with
| 0 => 0
| 1 => 1
| x + 20 => False.elim (by omega)
(which doesn't handle the case (Nat.succ (Nat.succ _)) either), there is no error message.
Steps to Reproduce
- Copy the above code into live.lean-lang.org
Expected behavior: Both snippets should produce no error message.
Actual behavior: Error message in the first snippet.
Versions
4.12.0-nightly-2024-08-26 on live.lean-lang.org
Impact
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Contributor guide
First steps
- Read the whole issue, then the project's contributing guide.
- Comment on the issue to say you are picking it up — it saves two people doing the same work.
- Fork the repository and make your change on a branch.
- Open a pull request that references the issue number.
Research direction
Start by reproducing both snippets in live.lean-lang.org using the reported Lean nightly version, then trace the equation compiler's exhaustiveness-checking entry point. Done means the first snippet no longer reports a missing case while preserving correct exhaustiveness diagnostics for genuinely incomplete matches.
Written by the indexing model from the issue text.
Assessment
- Domain
- compilers
- Issue type
- Bug
- Difficulty
- 4/5
- Estimated time
- 3-5 days
- Activity status
- Active
- Clarity
- Mostly clear
- Newbie friendliness
- 48/100