Theorems · Theorem · functional analysis

ContinuousAlgHom.fst_prod_snd

∀ {R : Type u_1} [inst : CommSemiring R] {A : Type u_2} [inst_1 : Semiring A] [inst_2 : TopologicalSpace A]
  {B : Type u_3} [inst_3 : Semiring B] [inst_4 : TopologicalSpace B] [inst_5 : Algebra R A] [inst_6 : Algebra R B],
  (ContinuousAlgHom.fst R A B).prod (ContinuousAlgHom.snd R A B) = ContinuousAlgHom.id R (A × B)

Defined in

Mathlib.Topology.Algebra.Algebra

Cited by

0 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringTopologicalSpaceSemiringTopologicalSpaceAlgebraAlgebra