Theorems · Theorem · group theory
Rep.comp_smul
∀ {k : Type u} {G : Type v} [inst : CommSemiring k] [inst_1 : Monoid G] {M N O : Rep.{u_1, u, v} k G} (f : M ⟶ N)
(r : k) (g : N ⟶ O), CategoryTheory.CategoryStruct.comp f (r • g) = r • CategoryTheory.CategoryStruct.comp f g- Defined in
- Mathlib.RepresentationTheory.Rep.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 60 from the axioms · uses propext, Quot.sound
- Assumes
- CommSemiringMonoid
Around this declaration
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CommSemiringstatement and proof · cited by 10,911
- Monoidstatement and proof · cited by 3,887
- LinearMap.extproof · cited by 844
- Repstatement and proof · cited by 843
- Rep.Vproof · cited by 695
- Rep.ρproof · cited by 356
- Representation.IntertwiningMap.toLinearMapproof · cited by 205
- Rep.Hom.homproof · cited by 190
- Representation.IntertwiningMap.extproof · cited by 51
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