Theorems · Theorem · commutative algebra
CommRing.Pic.mapAlgebra_mapAlgebra
∀ {R : Type u} [inst : CommSemiring R] {A : Type u_5} {B : Type u_6} [inst_1 : CommSemiring A] [inst_2 : CommSemiring B]
[inst_3 : Algebra R A] [inst_4 : Algebra R B] [inst_5 : Algebra A B] [IsScalarTower R A B] {M : CommRing.Pic R},
(CommRing.Pic.mapAlgebra A B) ((CommRing.Pic.mapAlgebra R A) M) = (CommRing.Pic.mapAlgebra R B) M- Defined in
- Mathlib.RingTheory.PicardGroup
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- IsScalarTowerstatement and proof · cited by 3,896
- MonoidHomstatement · cited by 3,629
- TensorProductproof · cited by 2,545
- LinearEquiv.transproof · cited by 298
- LinearEquiv.reflproof · cited by 143
- CommRing.Picstatement and proof · cited by 37
- TensorProduct.AlgebraTensorModule.cancelBaseChangeproof · cited by 32
- TensorProduct.AlgebraTensorModule.congrproof · cited by 29
- CommRing.Pic.AsModuleproof · cited by 11
Cited by1
Results whose statement or proof uses this declaration.
- CommRing.Pic.mapAlgebra_comp_mapAlgebraproof · cited by 1