Theorems · Theorem · category theory
Action.sum_hom
∀ {V : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} V] {G : Type u_2} [inst_1 : Monoid G]
[inst_2 : CategoryTheory.Preadditive V] {X Y : Action V G} {ι : Type u_3} (f : ι → (X ⟶ Y)) (s : Finset ι),
(s.sum f).hom = ∑ i ∈ s, (f i).hom- Defined in
- Mathlib.CategoryTheory.Action.Limits
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 47 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- Finsetstatement and proof · cited by 13,712
- Finset.sumstatement · cited by 5,195
- Monoidstatement and proof · cited by 3,887
- CategoryTheory.Preadditivestatement and proof · cited by 3,309
- Actionstatement and proof · cited by 206
- Action.Vstatement · cited by 176
- Action.Hom.homstatement · cited by 86
- Action.forgetproof · cited by 17
- CategoryTheory.Functor.map_sumproof · cited by 2
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