Theorems · Theorem · category theory
AlgCat.restrictScalars_map
∀ {R : Type u_1} {S : Type u_2} [inst : CommRing R] [inst_1 : CommRing S] (f : R →+* S) {A B : AlgCat S} (g : A ⟶ B),
(AlgCat.restrictScalars f).map g = AlgCat.ofHom (AlgHom.restrictScalars R (AlgCat.Hom.hom g))- Defined in
- Mathlib.Algebra.Category.AlgCat.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 from the axioms · uses propext, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Quiver.Homstatement and proof · cited by 32,603
- CommRingstatement and proof · cited by 17,173
- RingHomstatement and proof · cited by 10,189
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- RingHom.toAlgebrastatement · cited by 337
- AlgHom.restrictScalarsstatement · cited by 83
- AlgCatstatement and proof · cited by 75
- AlgCat.carrierstatement · cited by 61
- AlgCat.Hom.homstatement · cited by 27
- AlgCat.ofstatement · cited by 23
- AlgCat.ofHomstatement · cited by 16
- AlgCat.restrictScalarsstatement and proof · cited by 10
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