Theorems · Theorem · logic and foundations
Cardinal.IsInaccessible.univ
Cardinal.univ.{u, v}.IsInaccessibleLean's foundations prove the existence of v inaccessibles in universe v.
- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 6 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ordinal.cofproof · cited by 125
- Cardinal.univstatement and proof · cited by 28
- Cardinal.IsInaccessiblestatement · cited by 18
- Cardinal.ord_univproof · cited by 8
- Cardinal.IsStrongLimit.isStrongPrelimitproof · cited by 4
- Cardinal.aleph0_lt_univproof · cited by 3
- Cardinal.IsStrongLimit.univproof · cited by 1
- Ordinal.cof_univproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Cardinal.preAleph_univproof · cited by 1
- Cardinal.preBeth_univproof · cited by 0
- Cardinal.aleph_univproof · cited by 0
- Ordinal.preOmega_univproof · cited by 0
- Cardinal.beth_univproof · cited by 0
- Ordinal.omega_univproof · cited by 0