Theorems · Theorem · category theory
Action.Hom.comm
∀ {V : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} V] {G : Type u_2} [inst_1 : Monoid G] {M N : Action V G}
(self : M.Hom N) (g : G),
CategoryTheory.CategoryStruct.comp (M.ρ g) self.hom = CategoryTheory.CategoryStruct.comp self.hom (N.ρ g)- Defined in
- Mathlib.CategoryTheory.Action.Basic
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
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 · cited by 62,936
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- Monoidstatement and proof · cited by 3,887
- MonoidHomstatement · cited by 3,629
- Actionstatement and proof · cited by 206
- Action.Vstatement · cited by 176
- CategoryTheory.Endstatement · cited by 169
- Action.Hom.homstatement · cited by 86
- Action.ρstatement · cited by 51
- Action.Homstatement and proof · cited by 11
Cited by8
Results whose statement or proof uses this declaration.
- Action.FunctorCategoryEquivalence.functorproof · cited by 14
- FDRep.Iso.conj_ρproof · cited by 1
- CategoryTheory.FintypeCat.Action.isConnected_of_transitiveproof · cited by 1
- CategoryTheory.PreGaloisCategory.has_decomp_quotientsproof · cited by 1
- CategoryTheory.PreGaloisCategory.exists_lift_of_quotient_openSubgroupproof · cited by 1
- Action.Hom.comm_assocproof · cited by 0
- Action.full_resproof · cited by 0
- Action.Iso.conj_ρproof · cited by 0