Theorems · Theorem · commutative algebra

IsScalarTower.algebraMap_eq

∀ (R : Type u) (S : Type v) (A : Type w) [inst : CommSemiring R] [inst_1 : CommSemiring S] [inst_2 : Semiring A]
  [inst_3 : Algebra R S] [inst_4 : Algebra S A] [inst_5 : Algebra R A] [IsScalarTower R S A],
  algebraMap R A = (algebraMap S A).comp (algebraMap R S)

Defined in

Mathlib.Algebra.Algebra.Tower

Cited by

110 results in Mathlib

Foundations

Depth 19 from the axioms, rests on 206 definitions · uses propext, Quot.sound

Assumes

CommSemiringCommSemiringSemiringAlgebraAlgebraAlgebraIsScalarTower