Theorems · Theorem · group theory
Equiv.Perm.sign_one
∀ {α : Type u} [inst : DecidableEq α] [inst_1 : Fintype α], Equiv.Perm.sign 1 = 1- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 78 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.
- DFunLike.coestatement · cited by 62,936
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Equiv.Permstatement · cited by 1,375
- map_oneproof · cited by 861
- Equiv.Perm.signstatement and proof · cited by 138
Cited by15
Results whose statement or proof uses this declaration.
- Matrix.det_diagonalproof · cited by 27
- Matrix.det_uniqueproof · cited by 15
- Matrix.det_isEmptyproof · cited by 9
- AlternatingMap.map_permproof · cited by 6
- Equiv.Perm.sign_sumCongrproof · cited by 3
- Equiv.Perm.sign_eq_prod_prod_Iioproof · cited by 2
- Equiv.Perm.sign_of_cycleType'proof · cited by 2
- Matrix.detp_neg_one_of_isEmptyproof · cited by 2
- Matrix.detp_one_of_isEmptyproof · cited by 2
- Equiv.Perm.card_le_of_centralizer_le_alternatingproof · cited by 1
- Matrix.detp_neg_one_diagonalproof · cited by 1
- Matrix.detp_one_diagonalproof · cited by 1