Theorems · Definition · Lie groups

ContinuousAddMonoidHom.prodMap

{A : Type u_2} →
  {B : Type u_3} →
    {C : Type u_4} →
      {D : Type u_5} →
        [inst : AddMonoid A] →
          [inst_1 : AddMonoid B] →
            [inst_2 : AddMonoid C] →
              [inst_3 : AddMonoid D] →
                [inst_4 : TopologicalSpace A] →
                  [inst_5 : TopologicalSpace B] →
                    [inst_6 : TopologicalSpace C] →
                      [inst_7 : TopologicalSpace D] → (A →ₜ+ C) → (B →ₜ+ D) → A × B →ₜ+ C × D

Product of two continuous homomorphisms on different spaces.

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

1 results in Mathlib

Foundations

Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidAddMonoidAddMonoidAddMonoidTopologicalSpaceTopologicalSpaceTopologicalSpaceTopologicalSpace