Theorems · Theorem · group theory
Equiv.Perm.sign_refl
∀ {α : Type u} [inst : DecidableEq α] [inst_1 : Fintype α], Equiv.Perm.sign (Equiv.refl α) = 1- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 10 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.
Cites8
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.reflstatement · cited by 274
- Equiv.Perm.signstatement and proof · cited by 138
Cited by10
Results whose statement or proof uses this declaration.
- Equiv.Perm.sign_swap'proof · cited by 10
- Equiv.Perm.sign_extendDomainproof · cited by 4
- Matrix.Nonsingular.of_linearIndependent_colproof · cited by 3
- Matrix.charpoly_sub_diagonal_degree_ltproof · cited by 3
- Equiv.Perm.decomposeFin.symm_signproof · cited by 2
- sign_finRotateproof · cited by 2
- Equiv.optionCongr_signproof · cited by 2
- Matrix.adjp_none_noneproof · cited by 1
- Equiv.Perm.decomposeOption_symm_signproof · cited by 0
- Matrix.detp_submatrix_equiv_selfproof · cited by 0