lean4-htt/tests/lean/rfl_simp_thm.lean
Leonardo de Moura 27df5e968a
feat: Simp.Config.implicitDefEqProofs (#4595)
This PR implements `Simp.Config.implicitDefEqsProofs`. When `true`
(default: `true`), `simp` will **not** create a proof term for a
rewriting rule associated with an `rfl`-theorem. Rewriting rules are
provided by users by annotating theorems with the attribute `@[simp]`.
If the proof of the theorem is just `rfl` (reflexivity), and
`implicitDefEqProofs := true`, `simp` will **not** create a proof term
which is an application of the annotated theorem.

The default setting does change the existing behavior. Users can use
`simp -implicitDefEqProofs` to force `simp` to create a proof term for
`rfl`-theorems. This can positively impact proof checking time in the
kernel.

This PR also fixes an issue in the `split` tactic that has been exposed
by this feature. It was looking for `split` candidates in proofs and
implicit arguments. See new test for issue exposed by the previous
feature.

---------

Co-authored-by: Kim Morrison <kim@tqft.net>
2024-11-29 22:29:27 +00:00

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def inc (x : Nat) := x + 1
@[simp] theorem inc_eq : inc x = x + 1 := rfl
theorem ex (a b : Fin (inc n)) (h : a = b) : b = a := by
simp +implicitDefEqProofs only [inc_eq] at a
trace_state
exact h.symm