Theorems · Theorem · logic and foundations
Cardinal.mk_congr
∀ {α β : Type u} (e : α ≃ β), Cardinal.mk α = Cardinal.mk β- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 55 results in Mathlib
- Foundations
- Depth 20 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.
- Equivstatement and proof · cited by 8,337
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
Cited by55
Results whose statement or proof uses this declaration.
- Cardinal.mk_fintypeproof · cited by 81
- Cardinal.lift_id'proof · cited by 43
- Equiv.cardinal_eqproof · cited by 35
- Cardinal.mk_sigmaproof · cited by 20
- Cardinal.mk_sumproof · cited by 19
- Cardinal.mk_prodproof · cited by 19
- Cardinal.lift_addproof · cited by 18
- Cardinal.sum_constproof · cited by 13
- Cardinal.mk_univproof · cited by 12
- Cardinal.mk_piproof · cited by 11
- Cardinal.lift_mulproof · cited by 10
- Cardinal.prod_constproof · cited by 8