Theorems · Theorem · order theory

InitialSeg.toPrincipalSeg_apply

∀ {α : Type u_1} {β : Type u_2} {r : α → α → Prop} {s : β → β → Prop} [inst : IsWellOrder β s] (f : InitialSeg r s)
  (hf : ¬Function.Surjective ⇑f) (x : α), (f.toPrincipalSeg hf).toRelEmbedding x = f x

Defined in

Mathlib.Order.InitialSeg

Cited by

0 results in Mathlib

Foundations

Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

IsWellOrder