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Theorems · Theorem · order theory

StrictAnti.cmp_map_eq

∀ {α : Type u} {β : Type v} [inst : LinearOrder α] [inst_1 : LinearOrder β] {f : α → β},
  StrictAnti f → ∀ (x y : α), cmp (f x) (f y) = cmp y x
Defined in
Mathlib.Order.Monotone.Basic
Cited by
2 results in Mathlib
Foundations
Depth 20 from the axioms · uses propext, Quot.sound
Assumes
LinearOrderLinearOrder
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

cmp_mul_neg_left · cited by 0cmp_mul_neg_leftcmp_mul_neg_right · cited by 0cmp_mul_neg_rightLinearOrder · cited by 8572LinearOrderSet.univ · cited by 3945Set.univStrictAnti · cited by 204StrictAnticmp · cited by 43cmpStrictAnti.strictAntiOn · cited by 16StrictAnti.strictAntiOnStrictAntiOn.cmp_map_eq · cited by 1StrictAntiOn.cmp_map_eqStrictAnti.cmp_map_eqCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.