Theorems · Definition · general topology

ContinuousMonoidHom.compLeft

{A : Type u_2} →
  {B : Type u_3} →
    (E : Type u_6) →
      [inst : Monoid A] →
        [inst_1 : Monoid B] →
          [inst_2 : CommGroup E] →
            [inst_3 : TopologicalSpace A] →
              [inst_4 : TopologicalSpace B] →
                [inst_5 : TopologicalSpace E] → [inst_6 : IsTopologicalGroup E] → (A →ₜ* B) → (B →ₜ* E) →ₜ* A →ₜ* E

ContinuousMonoidHom _ f is a functor.

Defined in

Mathlib.Topology.Algebra.Group.CompactOpen

Cited by

0 results in Mathlib

Foundations

Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidMonoidCommGroupTopologicalSpaceTopologicalSpaceTopologicalSpaceIsTopologicalGroup