Theorems · Theorem · logic and foundations
Ordinal.preOmega_le_preOmega
∀ {o₁ o₂ : Ordinal.{u_1}}, Ordinal.preOmega o₁ ≤ Ordinal.preOmega o₂ ↔ o₁ ≤ o₂- Defined in
- Mathlib.SetTheory.Cardinal.Aleph
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 88 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.
- DFunLike.coestatement · cited by 62,936
- Ordinalstatement and proof · cited by 1,688
- OrderEmbeddingstatement · cited by 619
- OrderEmbedding.le_iff_leproof · cited by 32
- Ordinal.preOmegastatement and proof · cited by 31
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.omega0_le_preOmega_iffproof · cited by 1
- Ordinal.preOmega_le_omegaproof · cited by 0