Theorems · Definition · logic and foundations
Ordinal
Type (u + 1)
Ordinal.{u} is the type of well orders in Type u, up to order isomorphism.
- Defined in
- Mathlib.SetTheory.Ordinal.Basic
- Cited by
- 1,688 results in Mathlib
- Foundations
- Depth 26 from the axioms, rests on 95 definitions · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by1,807
Results whose statement or proof uses this declaration.
- Cardinal.ordstatement · cited by 266
- Ordinal.typestatement · cited by 207
- Ordinal.omega0statement · cited by 197
- Ordinal.ToTypestatement and proof · cited by 143
- Ordinal.cofstatement and proof · cited by 125
- Ordinal.cardstatement · cited by 122
- Ordinal.IsPrincipalstatement and proof · cited by 92
- Ordinal.liftstatement and proof · cited by 86
- Cardinal.alephstatement · cited by 76
- Ordinal.veblenstatement and proof · cited by 64
- Ordinal.omegastatement · cited by 60
- Ordinal.typeinstatement · cited by 60
Showing the 200 most cited of 1,807.