Theorems · Theorem · logic and foundations
Ordinal.iSup_lt_of_lt_cof
∀ {α : Type u} {f : α → Ordinal.{u}} {a : Ordinal.{u}}, Cardinal.mk α < a.cof → (∀ (i : α), f i < a) → ⨆ i, f i < a- Cited by
- 5 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement and proof · cited by 2,598
- iSupstatement · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Ordinal.cofstatement and proof · cited by 125
- Cardinal.lift_ltproof · cited by 39
- Ordinal.lift_iSup_lt_of_lt_cofproof · cited by 8
- Ordinal.lift_cofproof · cited by 8
Cited by5
Results whose statement or proof uses this declaration.
- Cardinal.iSup_lt_of_lt_cof_ordproof · cited by 4
- Ordinal.cof_iSup_leproof · cited by 0
- Ordinal.iSup_lt_ordproof · cited by 0
- Cardinal.iSup_lt_ord_of_isRegularproof · cited by 0