Theorems · Theorem · group theory
Fintype.card_perm
∀ {α : Type u_1} [inst : DecidableEq α] [inst_1 : Fintype α], Fintype.card (Equiv.Perm α) = (Fintype.card α).factorial- Defined in
- Mathlib.Data.Fintype.Perm
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintype
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fintypestatement and proof · cited by 7,736
- Finset.univproof · cited by 3,473
- Fintype.cardstatement · cited by 1,386
- Equiv.Permstatement · cited by 1,375
- Nat.factorialstatement · cited by 616
- card_perms_of_finsetproof · cited by 1
- fintypePermproof · cited by 1
Cited by8
Results whose statement or proof uses this declaration.
- Nat.card_permproof · cited by 10
- Equiv.Perm.card_isConj_mul_eqproof · cited by 2
- DomMulAct.stabilizer_cardproof · cited by 2
- Matrix.det_leproof · cited by 1
- card_alternatingGroupproof · cited by 1
- AlternatingMap.coe_alternatizationproof · cited by 1
- Equiv.Perm.OnCycleFactors.kerParam_range_cardproof · cited by 1
- Fintype.card_equivproof · cited by 1