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Theorems · Theorem · order theory

compare_of_injective_eq_compareOfLessAndEq

∀ {α : Type u_2} {β : Type u_3} (a b : α) [inst : LinearOrder β] [inst_1 : DecidableEq α] (f : α → β)
  (inj : Function.Injective f) [inst_2 : Decidable (a < b)], compare (f a) (f b) = compareOfLessAndEq a b
Defined in
Mathlib.Order.Basic
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext
Assumes
LinearOrderDecidableEqDecidable
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LinearOrder · cited by 8572LinearOrderLinearOrder.compare_eq_compareOfLessAndEq · cited by 5LinearOrder.compare_eq_co…PartialOrder.lift · cited by 1PartialOrder.liftcompare_of_injective_eq_compa…CITED BYCITES

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