Theorems · Theorem · logic and foundations
Ordinal.mul_iSup
∀ (o : Ordinal.{u_1}) {ι : Sort u_2} (f : ι → Ordinal.{u_1}), o * ⨆ i, f i = ⨆ i, o * f i- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.rangeproof · cited by 4,705
- iSupstatement and proof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- SupSet.sSupproof · cited by 954
- sSup_rangeproof · cited by 20
- Set.range_comp'proof · cited by 17
- Ordinal.mul_sSupproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ordinal.iSup_mul_natCastproof · cited by 1