Theorems · Theorem · group theory
Equiv.Perm.sign_symm_trans_trans
∀ {α : Type u} [inst : DecidableEq α] {β : Type v} [inst_1 : Fintype α] [inst_2 : DecidableEq β] [inst_3 : Fintype β]
(f : Equiv.Perm α) (e : α ≃ β), Equiv.Perm.sign ((e.symm.trans f).trans e) = Equiv.Perm.sign f- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- Equiv.symmstatement · cited by 3,681
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Finset.mem_univproof · cited by 361
- Equiv.transstatement · cited by 337
- Equiv.Perm.signstatement · cited by 138
- Equiv.Perm.signAux3_symm_trans_transproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- Equiv.Perm.sign_eq_sign_of_equivproof · cited by 3
- Equiv.Perm.sign_trans_trans_symmproof · cited by 0