Theorems · Definition · Lie groups

ContinuousAddMonoidHom.coprod

{A : Type u_2} →
  {B : Type u_3} →
    {E : Type u_6} →
      [inst : AddMonoid A] →
        [inst_1 : AddMonoid B] →
          [inst_2 : TopologicalSpace A] →
            [inst_3 : TopologicalSpace B] →
              [inst_4 : AddCommMonoid E] →
                [inst_5 : TopologicalSpace E] → [ContinuousAdd E] → (A →ₜ+ E) → (B →ₜ+ E) → A × B →ₜ+ E

Coproduct of two continuous homomorphisms to the same space.

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

1 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddMonoidAddMonoidTopologicalSpaceTopologicalSpaceAddCommMonoidTopologicalSpaceContinuousAdd