Theorems · Theorem · logic and foundations
Cardinal.preAleph_zero
Cardinal.preAleph 0 = 0
- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 3 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Cardinalstatement · cited by 2,598
- Ordinalstatement · cited by 1,688
- OrderIsostatement · cited by 874
- Cardinal.preAlephstatement and proof · cited by 44
- OrderIso.map_botproof · cited by 30
Cited by3
Results whose statement or proof uses this declaration.
- Cardinal.preAleph_posproof · cited by 0
- Cardinal.preAleph_le_of_isSuccPrelimitproof · cited by 0
- Cardinal.preAleph_limitproof · cited by 0