Theorems · Theorem · logic and foundations
Cardinal.lift_uzero
∀ (a : Cardinal.{u}), Cardinal.lift.{0, u} a = aA cardinal lifted to the zero universe equals itself.
- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 31 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- Cardinal.liftstatement · cited by 583
- Cardinal.lift_id'proof · cited by 43
Cited by31
Results whose statement or proof uses this declaration.
- MvPolynomial.cardinalMk_eq_max_liftproof · cited by 5
- Cardinal.mk_le_aleph0_iffproof · cited by 4
- rank_eq_zero_iffproof · cited by 3
- Cardinal.mk_finsupp_natproof · cited by 3
- Cardinal.mk_setproof · cited by 3
- Cardinal.mk_list_eq_mkproof · cited by 3
- Subfield.cardinalMk_closure_le_maxproof · cited by 3
- rank_fun_infiniteproof · cited by 2
- Cardinal.mk_freeAbelianGroupproof · cited by 2
- Cardinal.mk_perm_eq_self_powerproof · cited by 2
- IsClub.sInterproof · cited by 2
- MeasurableSpace.cardinal_generateMeasurableRec_leproof · cited by 1