Theorems · Theorem · logic and foundations
Cardinal.preAleph_le_of_strictMono
∀ {f : Ordinal.{u_1} → Cardinal.{u_1}}, StrictMono f → ∀ (o : Ordinal.{u_1}), Cardinal.preAleph o ≤ f o- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 1 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- OrderIsostatement · cited by 874
- StrictMonostatement and proof · cited by 706
- OrderIso.symmproof · cited by 475
- Cardinal.preAlephstatement and proof · cited by 44
- OrderIso.symm_apply_applyproof · cited by 41
- StrictMono.compproof · cited by 36
- OrderIso.strictMonoproof · cited by 26
- StrictMono.id_leproof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.preAleph_le_preBethproof · cited by 4