Theorems · Theorem · logic and foundations
Ordinal.one_toType_eq
∀ (x : Ordinal.ToType 1), x = (Ordinal.enum fun x1 x2 => x1 < x2) ⟨0, Ordinal.uniqueToTypeOne._proof_2⟩
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- Ordinalstatement · cited by 1,688
- Set.Iiostatement · cited by 1,166
- RelIsostatement · cited by 456
- Ordinal.typestatement · cited by 207
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.enumstatement · cited by 39
- Unique.eq_defaultproof · cited by 38
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.typein_one_toTypeproof · cited by 1