Theorems · Theorem · logic and foundations
Ordinal.type_lt_cardinal
(Ordinal.type fun x1 x2 => x1 < x2) = Ordinal.univ.{u, u + 1}- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement · cited by 1,688
- OrderIso.symmproof · cited by 475
- Ordinal.typestatement and proof · cited by 207
- IsWellOrderstatement · cited by 171
- Cardinal.preAlephproof · cited by 44
- Ordinal.univstatement · cited by 18
- Ordinal.type_lt_ordinalproof · cited by 2
- OrderIso.ordinalType_congrproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.mk_cardinalproof · cited by 1
- Cardinal.type_cardinalproof · cited by 0