`grind` failing to apply lemma if instance is not syntactically equal
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Description
Prerequisites
- 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
(You can also use the settings there to switch to “Lean nightly”)
Description
In this code:
structure A where
class B (α : Type u) where
data : Bool
instance instB {α : Type u} : B α where
data := false
@[grind =]
theorem data_eq : B.data A = false := rfl
class C (α : Type u) extends B α where
instance instCA : C A where
example : instCA.toB = instB := by
with_reducible_and_instances rfl
theorem foo : B.data A = false := by grind -- `grind` failed
I expect that grind is able to apply the theorem data_eq. The type of data_eq is
theorem data_eq : @Eq Bool (@B.data A (@instB A)) false
whereas the type of foo is
theorem foo : @Eq Bool (@B.data A (@C.toB A instCA)) false
but the two instances are equal at instances transparency, so I expect the lemma to still apply.
Context
This kind of instances-defeq diamond appears everywhere. I hit it in relation to our order API.
Steps to Reproduce
- See above code
Expected behavior: grind successfully proves foo.
Actual behavior: grind does not prove foo.
Versions
Lean 4.35.0-nightly-2026-09-08 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 with the self-contained Lean example in the issue and reproduce the failure of grind on theorem foo using the reported nightly environment. Investigate how grind matches the [grind =] theorem data_eq when its instances are only equal at instances transparency; done means the example proves foo successfully and the regression is covered.
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
- 55/100