Theorems · Theorem · logic and foundations
Cardinal.IsInaccessible.preBeth_ord
∀ {c : Cardinal.{u_1}}, c.IsInaccessible → Cardinal.preBeth c.ord = c- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 100 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites32
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.Elemproof · cited by 7,166
- Cardinalstatement and proof · cited by 2,598
- LT.lt.leproof · cited by 2,189
- Ordinalproof · cited by 1,688
- le_of_ltproof · cited by 1,175
- Set.Iioproof · cited by 1,166
- Cardinal.liftproof · cited by 583
- LT.lt.transproof · cited by 370
- Cardinal.ordstatement and proof · cited by 266
- Ordinal.cofproof · cited by 125
- Ordinal.cardproof · cited by 122
- LE.le.antisymm'proof · cited by 104
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.preAleph_ordproof · cited by 3
- Cardinal.IsInaccessible.beth_ordproof · cited by 2
- Cardinal.preBeth_univproof · cited by 0