Theorems · Definition · Lie groups

ContinuousMonoidHom.prod

{A : Type u_2} →
  {B : Type u_3} →
    {C : Type u_4} →
      [inst : Monoid A] →
        [inst_1 : Monoid B] →
          [inst_2 : Monoid C] →
            [inst_3 : TopologicalSpace A] →
              [inst_4 : TopologicalSpace B] → [inst_5 : TopologicalSpace C] → (A →ₜ* B) → (A →ₜ* C) → A →ₜ* B × C

Product of two continuous homomorphisms on the same space.

Defined in

Mathlib.Topology.Algebra.ContinuousMonoidHom

Cited by

1 results in Mathlib

Foundations

Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidMonoidMonoidTopologicalSpaceTopologicalSpaceTopologicalSpace