Mathlib Map

Theorems · Theorem · group theory

card_perms_of_finset

∀ {α : Type u_1} [inst : DecidableEq α] (s : Finset α), (permsOfFinset s).card = s.card.factorial
Defined in
Mathlib.Data.Fintype.Perm
Cited by
1 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Fintype.card_perm · cited by 8Fintype.card_permFinset · cited by 13712FinsetMultiset · cited by 2627MultisetFinset.card · cited by 2327Finset.cardEquiv.Perm · cited by 1375Equiv.PermNat.factorial · cited by 616Nat.factorialMultiset.Nodup · cited by 148Multiset.NodupFinset.casesOn · cited by 17Finset.casesOnpermsOfFinset · cited by 2permsOfFinsetlength_permsOfList · cited by 1length_permsOfListcard_perms_of_finsetCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.