Theorems · Theorem · category theory
ModuleCat.MonModuleEquivalenceAlgebra.functor_map_hom_apply
∀ {R : Type u} [inst : CommRing R] {x x_1 : CategoryTheory.Mon (ModuleCat R)} (f : x ⟶ x_1) (a : ↑x.X),
(AlgCat.Hom.hom (ModuleCat.MonModuleEquivalenceAlgebra.functor.map f)) a =
(CategoryTheory.ConcreteCategory.hom f.hom) a- Cited by
- 0 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
Around this declaration
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Cites19
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
- Quiver.Homstatement and proof · cited by 32,603
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapstatement · cited by 10,215
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
- AlgHomstatement · cited by 3,236
- ModuleCatstatement and proof · cited by 1,429
- ModuleCat.carrierstatement and proof · cited by 997
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement and proof · cited by 329
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