Theorems · Theorem · commutative algebra
CommRing.Pic.mapRingHom_comp_mapRingHom
∀ {R : Type u} [inst : CommSemiring R] {S : Type u_7} {T : Type u_8} [inst_1 : CommSemiring S] [inst_2 : CommSemiring T]
{f : R →+* S} {g : S →+* T},
(CommRing.Pic.mapRingHom g).comp (CommRing.Pic.mapRingHom f) = CommRing.Pic.mapRingHom (g.comp f)- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 112 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebraproof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement and proof · cited by 10,189
- Algebra.algebraMapproof · cited by 4,706
- IsScalarTowerproof · cited by 3,896
- MonoidHomstatement · cited by 3,629
- RingHom.compstatement and proof · cited by 899
- MonoidHom.compstatement · cited by 469
- RingHom.toAlgebraproof · cited by 337
- IsScalarTower.of_algebraMap_eq'proof · cited by 101
- CommRing.Picstatement · cited by 37
- CommRing.Pic.mapAlgebraproof · cited by 10
Cited by1
Results whose statement or proof uses this declaration.
- CommRing.Pic.mapRingHom_mapRingHomproof · cited by 0