lean4-htt/tests/lean/run/grind_universe_polymorphism.lean
Kim Morrison 642bcdf55a
fix: handle universe polymorphism in ground grind theorems (#12226)
This PR fixes a bug where `grind [foo]` fails when the theorem `foo` has
a different universe variable name than the goal, even though universe
polymorphism should allow the universes to unify.

The issue was in `instantiateGroundTheorem` (used for theorems with no
quantified parameters), which was passing `thm.proof` directly instead
of calling `getProofWithFreshMVarLevels`. This meant ground theorems
retained their original universe level params instead of getting fresh
level metavariables that could unify with the goal's universe levels.

Fixes
https://leanprover.zulipchat.com/#narrow/channel/270676-lean4/topic/grind.20fails.20because.20of.20universe.20variable.20name

🤖 Prepared with Claude Code

Co-authored-by: Claude <noreply@anthropic.com>
2026-02-17 01:51:37 +00:00

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universe u v
-- We use `ULift Nat` as our (artificial) universe polymorphic type
def z : ULift.{u} Nat := ⟨0⟩
def f : ULift.{u} Nat → ULift.{u} Nat := id
-- replacing `.{v}` by `.{u}` makes the `grind` below succeed
theorem foo : f z.{v} = z := rfl
example : f z.{v} = z := by
grind [foo]
example : f z.{u} = z := by
grind [foo.{u}]
example : f z.{u} = z := by
grind [foo] -- used to fail before fix to instantiateGroundTheorem
-- Test with @[grind =] annotation
@[grind =] theorem foo' : f z.{v} = z := rfl
theorem bar : f z.{u} = z := by grind