08eb78a5b2
This PR sets up the new integrated test/bench suite. It then migrates all benchmarks and some related tests to the new suite. There's also some documentation and some linting. For now, a lot of the old tests are left alone so this PR doesn't become even larger than it already is. Eventually, all tests should be migrated to the new suite though so there isn't a confusing mix of two systems.
80 lines
2.5 KiB
Text
80 lines
2.5 KiB
Text
module
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-- This file uses `#guard_msgs` to check which lemmas `grind` is using.
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-- This may prove fragile, so remember it is okay to update the expected output if appropriate!
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-- Hopefully these will act as regression tests against `grind` activating irrelevant lemmas.
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section
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variable [BEq α] {o₁ o₂ o₃ o₄ o₅ : Option α}
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/--
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info: Try these:
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[apply] grind only [=_ Option.or_assoc, = Option.or_assoc, = Option.or_some, = Option.some_or, = Option.some_beq_none]
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[apply] grind =>
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instantiate only [=_ Option.or_assoc, = Option.or_assoc, = Option.or_some]
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instantiate only [= Option.some_or, = Option.or_some]
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instantiate only [= Option.some_beq_none]
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-/
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#guard_msgs in
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example : ((o₁.or (o₂.or (some x))).or (o₄.or o₅) == none) = false := by grind?
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/--
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info: Try these:
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[apply] grind only [= Option.max_none_right, = Option.min_some_some, = Nat.min_def]
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[apply] grind =>
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instantiate only [= Option.max_none_right, = Option.min_some_some]
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instantiate only [= Nat.min_def]
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-/
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#guard_msgs in
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example : max (some 7) none = min (some 13) (some 7) := by grind?
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/--
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info: Try these:
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[apply] grind only [= Option.guard_apply]
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[apply] grind => instantiate only [= Option.guard_apply]
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-/
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#guard_msgs in
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example : Option.guard (· ≤ 7) 3 = some 3 := by grind?
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/--
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info: Try these:
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[apply] grind only [= Option.mem_bind_iff, #8b09]
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[apply] grind only [= Option.mem_bind_iff]
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[apply] grind =>
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instantiate only [= Option.mem_bind_iff]
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instantiate only [#8b09]
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-/
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#guard_msgs in
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example {x : β} {o : Option α} {f : α → Option β} (h : a ∈ o) (h' : x ∈ f a) : x ∈ o.bind f := by grind?
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end
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open Option
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theorem toList_toArray {o : Option α} : o.toArray.toList = o.toList := by
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grind
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theorem toArray_toList {o : Option α} : o.toList.toArray = o.toArray := by
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grind
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theorem size_toArray_eq_one_iff {o : Option α} :
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o.toArray.size = 1 ↔ o.isSome := by
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grind
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theorem size_toArray_choice_eq_one [Nonempty α] : (choice α).toArray.size = 1 := by
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grind
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theorem length_toList_eq_one_iff {o : Option α} :
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o.toList.length = 1 ↔ o.isSome := by
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grind
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theorem length_toList_choice_eq_one [Nonempty α] : (choice α).toList.length = 1 := by
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grind
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example : (default : Option α) = none := by grind
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example (a : α) : Option.all q (guard p a) = (!p a || q a) := by grind
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example (a : α) : Option.any q (guard p a) = (p a && q a) := by grind
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example : (guard p a).or (guard q a) = guard (fun x => p x || q x) a := by grind
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