Theorems · Theorem · logic and foundations
Ordinal.cof_ord_le
∀ (c : Cardinal.{u_1}), c.ord.cof ≤ c- Cited by
- 5 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
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
- Cardinal.ordstatement and proof · cited by 266
- Ordinal.cofstatement and proof · cited by 125
- Cardinal.card_ordproof · cited by 23
- Ordinal.cof_le_cardproof · cited by 3
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.IsRegular.cof_ordproof · cited by 23
- Cardinal.isRegular_or_isSingularproof · cited by 3
- Cardinal.isSingular_aleph_iffproof · cited by 2
- Cardinal.IsSingular.cof_ord_ltproof · cited by 1
- Cardinal.infinite_pigeonholeproof · cited by 1