Theorems · Theorem · group theory
Equiv.Perm.sign_extendDomain
∀ {α : Type u} [inst : DecidableEq α] {β : Type v} [inst_1 : Fintype α] [inst_2 : DecidableEq β] [inst_3 : Fintype β]
(e : Equiv.Perm α) {p : β → Prop} [inst_4 : DecidablePred p] (f : α ≃ Subtype p),
Equiv.Perm.sign (e.extendDomain f) = Equiv.Perm.sign e- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Equivstatement and proof · cited by 8,337
- Fintypestatement and proof · cited by 7,736
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- Unitsstatement · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.reflproof · cited by 274
- Equiv.Perm.signstatement and proof · cited by 138
- Equiv.Perm.extendDomainstatement · cited by 34
- Equiv.permCongrproof · cited by 27
- Equiv.Perm.sign_reflproof · cited by 10
Cited by4
Results whose statement or proof uses this declaration.
- Fin.sign_cycleRangeproof · cited by 4
- Equiv.Perm.sign_ofSubtypeproof · cited by 2
- Fin.sign_cycleIcc_of_leproof · cited by 1
- Equiv.Perm.viaFintypeEmbedding_signproof · cited by 0