Theorems · Inductive type · logic and foundations
Cardinal.IsInaccessible
Cardinal.{u_1} → PropA cardinal is inaccessible if it is an uncountable regular strong limit cardinal.
- Defined in
- Mathlib.SetTheory.Cardinal.Regular
- Cited by
- 18 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
Cited by20
Results whose statement or proof uses this declaration.
- Cardinal.IsInaccessible.aleph0_ltstatement and proof · cited by 6
- Cardinal.IsInaccessible.univstatement · cited by 6
- Cardinal.IsInaccessible.preAleph_ordstatement and proof · cited by 3
- Cardinal.IsInaccessible.preBeth_ordstatement and proof · cited by 3
- Cardinal.IsInaccessible.aleph_ordstatement and proof · cited by 2
- Cardinal.IsInaccessible.beth_ordstatement and proof · cited by 2
- Cardinal.IsInaccessible.isRegularstatement and proof · cited by 2
- Cardinal.IsInaccessible.isStrongLimitstatement and proof · cited by 2
- Cardinal.IsInaccessible.isStrongPrelimitstatement and proof · cited by 2
- Cardinal.IsInaccessible.le_cof_ordstatement and proof · cited by 1
- Cardinal.IsInaccessible.ne_zerostatement and proof · cited by 1
- Cardinal.IsInaccessible.omega_ordstatement and proof · cited by 1