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Theorems · Theorem · group theory

Fintype.card_equiv

∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq α] [inst_1 : DecidableEq β] [inst_2 : Fintype α]
  [inst_3 : Fintype β] (e : α ≃ β), Fintype.card (α ≃ β) = (Fintype.card α).factorial
Defined in
Mathlib.Data.Fintype.Perm
Cited by
1 results in Mathlib
Foundations
Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqDecidableEqFintypeFintype
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Fintype.card_numbering · cited by 2Fintype.card_numberingEquiv · cited by 8337EquivFintype · cited by 7736FintypeFintype.card · cited by 1386Fintype.cardNat.factorial · cited by 616Nat.factorialEquiv.refl · cited by 274Equiv.reflFintype.card_congr · cited by 67Fintype.card_congrEquiv.equivCongr · cited by 10Equiv.equivCongrFintype.card_perm · cited by 8Fintype.card_permFintype.card_equivCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.