Theorems · Definition · logic and foundations
Cardinal.lift
Cardinal.{v} → Cardinal.{max v u}The universe lift operation on cardinals. You can specify the universes explicitly with
lift.{u v} : Cardinal.{v} → Cardinal.{max v u}
- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 583 results in Mathlib
- Foundations
- Depth 21 from the axioms, rests on 80 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivproof · cited by 8,337
- Equiv.symmproof · cited by 3,681
- Cardinalstatement and proof · cited by 2,598
- Equiv.transproof · cited by 337
- Equiv.uliftproof · cited by 115
- Cardinal.mapproof · cited by 3
Cited by589
Results whose statement or proof uses this declaration.
- Cardinal.aleph0proof · cited by 521
- Cardinal.lift_idstatement · cited by 163
- HasCardinalLTproof · cited by 99
- Cardinal.lift_lestatement · cited by 78
- Cardinal.lift_umaxstatement · cited by 56
- Cardinal.lift_liftstatement · cited by 53
- Cardinal.natCast_lt_aleph0proof · cited by 47
- Cardinal.lift_id'statement · cited by 43
- Cardinal.toNat_liftstatement · cited by 41
- Cardinal.lift_aleph0statement · cited by 41
- Cardinal.lift_natCaststatement and proof · cited by 39
- Cardinal.lift_ltstatement · cited by 39
Showing the 200 most cited of 589.