Theorems · Theorem · group theory
Equiv.Perm.sign_sumCongr
∀ {α : Type u} [inst : DecidableEq α] {β : Type v} [inst_1 : Fintype α] [inst_2 : DecidableEq β] [inst_3 : Fintype β]
(σa : Equiv.Perm α) (σb : Equiv.Perm β), Equiv.Perm.sign (σa.sumCongr σb) = Equiv.Perm.sign σa * Equiv.Perm.sign σb- Defined in
- Mathlib.GroupTheory.Perm.Sign
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites20
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
- mul_oneproof · cited by 3,885
- MonoidHomstatement · cited by 3,629
- one_mulproof · cited by 2,841
- Unitsstatement and proof · cited by 2,804
- Equiv.Permstatement and proof · cited by 1,375
- Equiv.swapproof · cited by 197
- Equiv.Perm.signstatement and proof · cited by 138
- Sum.inr_injectiveproof · cited by 40
- Sum.inl_injectiveproof · cited by 39
- Equiv.Perm.sumCongrstatement and proof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- Matrix.det_fromBlocks_zero₂₁proof · cited by 10
- MultilinearMap.domCoprod_alternizationproof · cited by 1
- Equiv.Perm.sign_subtypeCongrproof · cited by 1