Theorems · Theorem · logic and foundations
Equiv.cardinal_eq
∀ {α β : Type u} (e : α ≃ β), Cardinal.mk α = Cardinal.mk βAlias of Cardinal.mk_congr.
- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 35 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Equivstatement · cited by 8,337
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- Cardinal.mk_congrproof · cited by 55
Cited by35
Results whose statement or proof uses this declaration.
- Cardinal.lift_umaxproof · cited by 56
- Cardinal.lift_liftproof · cited by 53
- Cardinal.mk_eq_zeroproof · cited by 27
- Cardinal.mk_eq_oneproof · cited by 14
- Cardinal.mk_realproof · cited by 11
- Cardinal.le_mk_iff_exists_setproof · cited by 6
- Cardinal.lift_sumproof · cited by 5
- Cardinal.mk_finsupp_lift_of_fintypeproof · cited by 4
- AddMonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 4
- MonoidAlgebra.cardinalMk_eq_lift_of_fintypeproof · cited by 3
- MonoidAlgebra.cardinalMk_eq_max_lift_of_infiniteproof · cited by 3
- rank_fun_infiniteproof · cited by 2