Theorems · Theorem · logic and foundations

Ordinal.lift_type_eq

∀ {α : Type u} {β : Type v} {r : α → α → Prop} {s : β → β → Prop} [inst : IsWellOrder α r] [inst_1 : IsWellOrder β s],
  Ordinal.lift.{max v w, u} (Ordinal.type r) = Ordinal.lift.{max u w, v} (Ordinal.type s) ↔ Nonempty (r ≃r s)

Defined in

Mathlib.SetTheory.Ordinal.Basic

Cited by

0 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

IsWellOrderIsWellOrder