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Theorems · Theorem · logic and foundations

RelIso.ordinal_type_eq

Deprecated since 2026-05-25Use RelIso.ordinalType_congr instead.

∀ {α β : Type u_1} {r : α → α → Prop} {s : β → β → Prop} [inst : IsWellOrder α r] [inst_1 : IsWellOrder β s]
  (h : r ≃r s), Ordinal.type r = Ordinal.type s

Alias of RelIso.ordinalType_congr.

Defined in
Mathlib.SetTheory.Ordinal.Basic
Cited by
0 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
Assumes
IsWellOrderIsWellOrder
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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Ordinal · cited by 1688OrdinalRelIso · cited by 456RelIsoOrdinal.type · cited by 207Ordinal.typeIsWellOrder · cited by 171IsWellOrderRelIso.ordinalType_congr · cited by 7RelIso.ordinalType_congrRelIso.ordinal_type_eqCITED BYCITES

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