Theorems · Theorem · logic and foundations
Ordinal.range_enumOrd
∀ {s : Set Ordinal.{u}}, ¬BddAbove s → Set.range (Ordinal.enumOrd s) = s- Defined in
- Mathlib.SetTheory.Ordinal.Enum
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.ofPredproof · cited by 6,101
- Set.rangestatement and proof · cited by 4,705
- Set.extproof · cited by 2,266
- Ordinalstatement and proof · cited by 1,688
- InfSet.sInfproof · cited by 935
- BddAbovestatement and proof · cited by 620
- LE.le.antisymmproof · cited by 507
- LT.lt.not_geproof · cited by 305
- Ordinal.enumOrdstatement and proof · cited by 23
- csInf_memproof · cited by 19
- StrictMono.id_leproof · cited by 14
Cited by4
Results whose statement or proof uses this declaration.
- Ordinal.eq_enumOrdproof · cited by 2
- Ordinal.range_preOmegaproof · cited by 1
- Ordinal.enumOrd_isNormal_iff_isClosedproof · cited by 0
- Ordinal.enumOrd_surjectiveproof · cited by 0