Theorems · Theorem · category theory
ModuleCat.mkOfSMul_smul
∀ {R : Type u} [inst : Ring R] {A : AddCommGrpCat} (φ : R →+* CategoryTheory.End A) (r : R),
(ModuleCat.mkOfSMul φ).smul r = φ r- Defined in
- Mathlib.Algebra.Category.ModuleCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 35 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
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Cites15
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.Functor.objstatement · cited by 19,642
- RingHom.idstatement · cited by 18,349
- LinearMapstatement · cited by 10,215
- RingHomstatement and proof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- AddMonoidHomstatement · cited by 3,230
- ModuleCatstatement · cited by 1,429
- ModuleCat.carrierstatement · cited by 997
- AddCommGrpCatstatement and proof · cited by 462
- AddCommGrpCat.carrierstatement · cited by 407
- CategoryTheory.forget₂statement · cited by 260
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