Theorems · Definition · order theory

RelEmbedding.trans

{α : Type u_1} →
  {β : Type u_2} →
    {γ : Type u_3} → {r : α → α → Prop} → {s : β → β → Prop} → {t : γ → γ → Prop} → r ↪r s → s ↪r t → r ↪r t

Composition of two relation embeddings is a relation embedding.

Defined in

Mathlib.Order.RelIso.Basic

Cited by

27 results in Mathlib

Foundations

Depth 14 from the axioms · uses propext, Quot.sound