Theorems · Theorem · order theory

RelEmbedding.ofMonotone_coe

∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} [inst : Std.Trichotomous r] [inst_1 : Std.Asymm s]
  (f : α → β) (H : ∀ (a b : α), r a b → s (f a) (f b)), ⇑(RelEmbedding.ofMonotone f H) = f

Defined in

Mathlib.Order.RelIso.Basic

Cited by

0 results in Mathlib

Foundations

Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

Std.TrichotomousStd.Asymm