Theorems · Definition · order theory

PrincipalSeg.transInitial

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

Composition of a principal segment embedding with an initial segment embedding, as a principal segment embedding

Defined in

Mathlib.Order.InitialSeg

Cited by

3 results in Mathlib

Foundations

Depth 20 from the axioms · uses propext, Quot.sound