Theorems · Theorem · logic and foundations
Cardinal.le_powerlt
∀ {b c : Cardinal.{u}} (a : Cardinal.{u}), c < b → a ^ c ≤ a ^< b- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Cardinalstatement and proof · cited by 2,598
- Set.Iioproof · cited by 1,166
- BddAboveproof · cited by 620
- Set.image_eq_rangeproof · cited by 57
- le_ciSupproof · cited by 57
- Cardinal.powerltstatement · cited by 11
- bddAbove_Iioproof · cited by 4
- Cardinal.bddAbove_imageproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.powerlt_le_powerlt_leftproof · cited by 1
- Cardinal.powerlt_aleph0proof · cited by 1
- Cardinal.zero_powerltproof · cited by 0
- Cardinal.powerlt_succproof · cited by 0