19 lines
595 B
Text
19 lines
595 B
Text
module
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reset_grind_attrs%
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open List Nat
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attribute [grind] List.filter_nil List.filter_cons
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attribute [grind] List.any_nil List.any_cons
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theorem any_filter {l : List α} {p q : α → Bool} :
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(filter p l).any q = l.any fun a => p a && q a := by
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induction l <;> grind
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attribute [grind] List.map_nil List.map_cons
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attribute [grind] List.all_nil List.all_cons
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theorem any_map {l : List α} {p : β → Bool} : (l.map f).any p = l.any (p ∘ f) := by
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induction l <;> grind
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theorem all_map {l : List α} {p : β → Bool} : (l.map f).all p = l.all (p ∘ f) := by
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induction l <;> grind
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