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Theorems · Theorem · logic and foundations

Ordinal.cof_omega

∀ {o : Ordinal.{u_1}}, Order.IsSuccLimit o → (Ordinal.omega o).cof = o.cof
Defined in
Mathlib.SetTheory.Cardinal.Cofinality.Ordinal
Cited by
1 results in Mathlib
Foundations
Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cardinal.isSingular_aleph_iff · cited by 2Cardinal.isSingular_aleph…DFunLike.coe · cited by 62936DFunLike.coeCardinal · cited by 2598CardinalOrdinal · cited by 1688OrdinalOrderEmbedding · cited by 619OrderEmbeddingOrder.IsSuccLimit · cited by 255Order.IsSuccLimitOrdinal.cof · cited by 125Ordinal.cofOrdinal.omega · cited by 60Ordinal.omegaOrdinal.cof_map_of_isNormal · cited by 7Ordinal.cof_map_of_isNorm…Ordinal.isNormal_omega · cited by 1Ordinal.isNormal_omegaOrdinal.cof_omegaCITED BYCITES

Cites9

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Cited by1

Results whose statement or proof uses this declaration.