Theorems · Theorem · logic and foundations
Cardinal.mk_perm_eq_self_power
∀ {α : Type u} [Infinite α], Cardinal.mk (Equiv.Perm α) = Cardinal.mk α ^ Cardinal.mk α- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 104 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites28
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Equivproof · cited by 8,337
- LE.le.transproof · cited by 3,151
- Cardinalstatement and proof · cited by 2,598
- Equiv.Permstatement and proof · cited by 1,375
- Function.Embeddingproof · cited by 988
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- LE.le.antisymmproof · cited by 507
- Infinitestatement and proof · cited by 352
- Cardinal.mk_fintypeproof · cited by 81
- max_selfproof · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.mk_equiv_eq_arrow_of_lift_eqproof · cited by 2
- Cardinal.mk_perm_eq_two_powerproof · cited by 0