Theorems · Theorem · group theory
Equiv.Perm.sign_surjective
∀ (α : Type u) [inst : DecidableEq α] [inst_1 : Fintype α] [Nontrivial α], Function.Surjective ⇑Equiv.Perm.sign
- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqFintypeNontrivial
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Fintypestatement and proof · cited by 7,736
- MonoidHomstatement · cited by 3,629
- Unitsstatement and proof · cited by 2,804
- Nontrivialstatement and proof · cited by 2,416
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.swapproof · cited by 197
- Equiv.Perm.signstatement and proof · cited by 138
- exists_pair_neproof · cited by 32
- Int.units_eq_one_orproof · cited by 20
- Equiv.Perm.sign_oneproof · cited by 15
- Equiv.Perm.sign_swapproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- alternatingGroup.index_eq_twoproof · cited by 2