Theorems · Theorem · logic and foundations
Ordinal.sSup_ord
∀ (s : Set Cardinal.{u_3}), (sSup s).ord = sSup (Cardinal.ord '' s)- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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.imagestatement and proof · cited by 5,609
- Set.Nonemptyproof · cited by 2,627
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- SupSet.sSupstatement and proof · cited by 954
- BddAboveproof · cited by 620
- Iff.notproof · cited by 489
- Cardinal.ordstatement and proof · cited by 266
- Set.eq_empty_or_nonemptyproof · cited by 248
- bot_eq_zero'proof · cited by 92
- Set.image_emptyproof · cited by 73
Cited by2
Results whose statement or proof uses this declaration.
- Ordinal.iSup_ordproof · cited by 2
- Cardinal.sSup_lt_of_lt_cof_ordproof · cited by 0