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Theorems · Theorem · order theory

contravariant_lt_of_contravariant_le

∀ (M : Type u_1) (N : Type u_2) (μ : M → N → N) [inst : PartialOrder N],
  (Contravariant M N μ fun x1 x2 => x1 ≤ x2) → Contravariant M N μ fun x1 x2 => x1 < x2
Defined in
Mathlib.Algebra.Order.Monoid.Unbundled.Defs
Cited by
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Foundations
Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PartialOrder
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PartialOrder · cited by 6410PartialOrderContravariant · cited by 12Contravariantcontravariant_le_iff_contravariant_lt_and_eq · cited by 2contravariant_le_iff_cont…contravariant_lt_of_contravar…CITED BYCITES

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