Theorems · Theorem · logic and foundations
Ordinal.le_cof_iff_blsub
Deprecated since 2026-03-21Use Order.le_cof_iff instead.
∀ {b : Ordinal.{u}} {a : Cardinal.{u}},
a ≤ b.cof ↔ ∀ {o : Ordinal.{u}} (f : (a : Ordinal.{u}) → a < o → Ordinal.{u}), o.blsub f = b → a ≤ o.card- Cited by
- 0 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites20
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkproof · cited by 942
- Cardinal.ordproof · cited by 266
- Ordinal.typeproof · cited by 207
- IsWellOrderproof · cited by 171
- Ordinal.ToTypeproof · cited by 143
- PrincipalSeg.toRelEmbeddingproof · cited by 129
- Ordinal.cofstatement · cited by 125
- Ordinal.cardstatement and proof · cited by 122
- Ordinal.typeinproof · cited by 60
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