Theorems · Theorem · logic and foundations
Cardinal.IsInaccessible.preOmega_ord
∀ {c : Cardinal.{u_1}}, c.IsInaccessible → Ordinal.preOmega c.ord = c.ord- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 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.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- Cardinal.ordstatement and proof · cited by 266
- Ordinal.preOmegastatement · cited by 31
- Cardinal.IsInaccessiblestatement and proof · cited by 18
- Cardinal.ord_preAlephproof · cited by 5
- Cardinal.IsInaccessible.preAleph_ordproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.preOmega_univproof · cited by 0