Theorems · Theorem · logic and foundations
Ordinal.mul_sSup
∀ (o : Ordinal.{u_1}) (s : Set Ordinal.{u_1}), o * sSup s = sSup ((fun x => o * x) '' s)- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 41 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites23
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
- Bot.botproof · cited by 4,720
- LE.le.transproof · cited by 3,151
- Set.Nonemptyproof · cited by 2,627
- MulZeroClass.mul_zeroproof · cited by 2,091
- Ordinalstatement and proof · cited by 1,688
- MulZeroClass.zero_mulproof · cited by 1,625
- SupSet.sSupstatement and proof · cited by 954
- BddAboveproof · cited by 620
- Set.image_congrproof · cited by 533
- upperBoundsproof · cited by 263
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.mul_iSupproof · cited by 1