lean4-htt/tests/lean/run/grind_decide_bool_issues.lean
Leonardo de Moura a3b83f7ca9
feat: improve Bool normalization in grind (#7862)
This PR improves the normalization of `Bool` terms in `grind`. Recall
that `grind` currently does not case split on Boolean terms to reduce
the size of the search space.
2025-04-07 22:15:32 +00:00

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reset_grind_attrs%
example {P Q : Prop} [Decidable P] [Decidable Q] : (decide P || decide Q) = decide (P Q) := by grind
@[grind] theorem eq_head_or_mem_tail_of_mem_cons {a b : α} {l : List α} :
a ∈ b :: l → a = b a ∈ l := List.mem_cons.mp
attribute [grind] List.mem_cons_self List.mem_cons_of_mem
example [DecidableEq α] {l : List α} :
(y ∈ a :: l) = (y = a) y ∈ l := by -- This one is not `(y ∈ a :: l) = (y = a y ∈ l)`
grind
example [DecidableEq α] {l : List α} :
(y ∈ a :: l) = (y = a y ∈ l) := by
grind
-- but inserting some `decide`s fails:
example [BEq α] [LawfulBEq α] {l : List α} :
decide (y ∈ a :: l) = (y == a || decide (y ∈ l)) := by
grind
example [BEq α] (a b : α) : (a == b && a == b) = (a == b) := by
rw [Bool.eq_iff_iff]
grind
example [BEq α] (a b : α) : (a == b && a == b) = (a == b) := by
grind
example (a b : List Nat) : (a == b && b == a) = (a == b) := by
grind