Theorems · Theorem · logic and foundations
Cardinal.IsInaccessible.beth_ord
∀ {c : Cardinal.{u_1}}, c.IsInaccessible → Cardinal.beth c.ord = c- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 101 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Ordinalproof · cited by 1,688
- le_of_ltproof · cited by 1,175
- Cardinal.ordstatement · cited by 266
- Ordinal.omega0proof · cited by 197
- pow_twoproof · cited by 150
- Ordinal.cardproof · cited by 122
- Cardinal.bethstatement · cited by 35
- Cardinal.IsInaccessiblestatement and proof · cited by 18
- Cardinal.lt_ordproof · cited by 13
- Cardinal.IsInaccessible.aleph0_ltproof · cited by 6
- Ordinal.card_omega0proof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.aleph_ordproof · cited by 2
- Cardinal.beth_univproof · cited by 0