Theorems · Theorem · group theory
Equiv.Perm.signAux_eq_signAux2
∀ {α : Type u} [inst : DecidableEq α] {n : ℕ} (l : List α) (f : Equiv.Perm α) (e : α ≃ Fin n),
(∀ (x : α), f x ≠ x → x ∈ l) → Equiv.Perm.signAux ((e.symm.trans f).trans e) = Equiv.Perm.signAux2 l f- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Equiv.symmstatement · cited by 3,681
- Unitsstatement · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.transstatement · cited by 337
- Equiv.Perm.signAuxstatement · cited by 8
- Equiv.Perm.signAux2statement · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.signAux3_mul_and_swapproof · cited by 1
- Equiv.Perm.signAux3_symm_trans_transproof · cited by 1