Theorems · Definition · logic and foundations
Cardinal.outMkEquiv
{α : Type v} → Quotient.out (Cardinal.mk α) ≃ αThe representative of the cardinal of a type is equivalent to the original type.
- Defined in
- Mathlib.SetTheory.Cardinal.Defs
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 23 from the axioms · uses propext, Classical.choice, 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
- Cardinal.mkstatement · cited by 942
- Nonempty.someproof · cited by 340
- Quotient.outstatement · cited by 141
Cited by6
Results whose statement or proof uses this declaration.
- Cardinal.mk_sigmaproof · cited by 20
- Cardinal.sum_constproof · cited by 13
- Cardinal.mk_piproof · cited by 11
- Cardinal.prod_constproof · cited by 8
- Cardinal.lift_power_sumproof · cited by 1
- Cardinal.out_lift_equivproof · cited by 0