Theorems · Theorem · group theory
Equiv.Perm.mem_ofSign
∀ {α : Type u} [inst : DecidableEq α] [inst_1 : Fintype α] {s : ℤˣ} {σ : Equiv.Perm α},
σ ∈ Equiv.Perm.ofSign s ↔ Equiv.Perm.sign σ = s- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 80 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.
Cites10
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
- Finsetstatement and proof · cited by 13,712
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Finset.mem_univproof · cited by 361
- Finset.mem_filterproof · cited by 185
- Equiv.Perm.signstatement and proof · cited by 138
- Equiv.Perm.ofSignstatement · cited by 21
Cited by6
Results whose statement or proof uses this declaration.
- Equiv.Perm.ofSign_disjointproof · cited by 3
- Matrix.detp_mulproof · cited by 1
- Matrix.detp_neg_one_diagonalproof · cited by 1
- Matrix.isAddUnit_detp_mul_detpproof · cited by 1
- Matrix.det_eq_detp_sub_detpproof · cited by 0
- Matrix.isAddUnit_detp_smul_mul_adjpproof · cited by 0