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Theorems · Theorem · order theory

RelHom.injective_of_increasing

∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} [Std.Trichotomous r] [Std.Irrefl s] (f : r →r s),
  Function.Injective ⇑f

An increasing function is injective

Defined in
Mathlib.Order.RelIso.Basic
Cited by
0 results in Mathlib
Foundations
Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Std.TrichotomousStd.Irrefl
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DFunLike.coe · cited by 62936DFunLike.coeRelHom · cited by 49RelHomRelHom.map_rel · cited by 4RelHom.map_relinjective_of_increasing · cited by 1injective_of_increasingRelHom.injective_of_increasingCITED BYCITES

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