Theorems · Theorem · logic and foundations
Ordinal.iSup_ord
∀ {ι : Sort u_3} (f : ι → Cardinal.{u_4}), (⨆ i, f i).ord = ⨆ i, (f i).ord- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Set.imageproof · cited by 5,609
- Set.rangeproof · cited by 4,705
- Cardinalstatement and proof · cited by 2,598
- iSupstatement and proof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- SupSet.sSupproof · cited by 954
- Cardinal.ordstatement and proof · cited by 266
- Set.range_comp'proof · cited by 17
- Ordinal.sSup_ordproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.iSup_lt_of_lt_cof_ordproof · cited by 4
- Cardinal.lift_iSup_lt_of_lt_cof_ordproof · cited by 4