Theorems · Definition · logic and foundations
Cardinal.IsStrongPrelimit
Cardinal.{u_1} → PropA cardinal is a strong pre-limit if it's closed under powersets.
See IsStrongLimit for a version excluding 0.
- Defined in
- Mathlib.SetTheory.Cardinal.Order
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, 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 and proof · cited by 2,598
Cited by15
Results whose statement or proof uses this declaration.
- Cardinal.IsStrongLimit.isStrongPrelimitstatement · cited by 4
- Cardinal.IsInaccessible.isStrongPrelimitstatement · cited by 2
- Cardinal.IsStrongLimit.casesOnstatement and proof · cited by 1
- Cardinal.mk_bounded_subsetstatement and proof · cited by 1
- Cardinal.IsStrongPrelimit.isSuccPrelimitstatement and proof · cited by 1
- Cardinal.isStrongLimit_iffstatement and proof · cited by 1
- Cardinal.isStrongPrelimit_preBethstatement and proof · cited by 1
- Cardinal.isStrongLimit_preBethproof · cited by 1
- Cardinal.not_isStrongPrelimit_iffstatement · cited by 1
- Cardinal.mk_subset_mk_lt_cofstatement and proof · cited by 0
- Cardinal.IsStrongLimit.recOnstatement and proof · cited by 0
- Cardinal.IsStrongLimit.two_power_ltstatement · cited by 0