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Theorems · Theorem · logic and foundations

Ordinal.omega0_le_preOmega_iff

∀ {x : Ordinal.{u_1}}, Ordinal.omega0 ≤ Ordinal.preOmega x ↔ Ordinal.omega0 ≤ x
Defined in
Mathlib.SetTheory.Cardinal.Aleph
Cited by
1 results in Mathlib
Foundations
Depth 97 from the axioms · uses propext, Classical.choice, Quot.sound
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Ordinal.range_omega · cited by 1Ordinal.range_omegaDFunLike.coe · cited by 62936DFunLike.coeOrdinal · cited by 1688OrdinalOrderEmbedding · cited by 619OrderEmbeddingOrdinal.omega0 · cited by 197Ordinal.omega0Ordinal.preOmega · cited by 31Ordinal.preOmegaOrdinal.preOmega_omega0 · cited by 4Ordinal.preOmega_omega0Ordinal.preOmega_le_preOmega · cited by 2Ordinal.preOmega_le_preOm…Ordinal.omega0_le_preOmega_iffCITED BYCITES

Cites7

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Cited by1

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