Theorems · Theorem · logic and foundations
Ordinal.lift_cof
∀ (o : Ordinal.{u}), Cardinal.lift.{v, u} o.cof = (Ordinal.lift.{v, u} o).cof- Cited by
- 8 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- LinearOrderproof · cited by 8,572
- Cardinalstatement and proof · cited by 2,598
- Ordinalstatement and proof · cited by 1,688
- Cardinal.liftstatement and proof · cited by 583
- WellFoundedLTproof · cited by 491
- Ordinal.typeproof · cited by 207
- Ordinal.cofstatement and proof · cited by 125
- Order.cofproof · cited by 86
- Ordinal.liftstatement and proof · cited by 86
- Cardinal.lift_umaxproof · cited by 56
- Cardinal.lift_id'proof · cited by 43
- Ordinal.cof_typeproof · cited by 9
Cited by8
Results whose statement or proof uses this declaration.
- Ordinal.iSup_lt_of_lt_cofproof · cited by 5
- Ordinal.lift_cof_iSup_add_oneproof · cited by 4
- Cardinal.IsRegular.liftproof · cited by 3
- Ordinal.sSup_add_one_lt_of_lt_cofproof · cited by 2
- Cardinal.derivFamily_lt_ord_liftproof · cited by 2
- Ordinal.iSup_add_one_lt_of_lt_cofproof · cited by 2
- Ordinal.cof_univproof · cited by 1
- Cardinal.isRegular_lift_iffproof · cited by 0