Theorems · Definition · general topology

ContinuousMap.compCLM

{α : Type u_1} →
  {β : Type u_2} →
    [inst : TopologicalSpace α] →
      [inst_1 : TopologicalSpace β] →
        (R : Type u_3) →
          (M : Type u_5) →
            [inst_2 : TopologicalSpace M] →
              [inst_3 : Semiring R] →
                [inst_4 : AddCommMonoid M] →
                  [inst_5 : ContinuousAdd M] →
                    [inst_6 : Module R M] → [inst_7 : ContinuousConstSMul R M] → C(α, β) → C(β, M) →L[R] C(α, M)

Composition on the right by a continuous map, as a ContinuousLinearMap.

Defined in

Mathlib.Topology.ContinuousMap.Algebra

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpaceTopologicalSpaceSemiringAddCommMonoidContinuousAddModuleContinuousConstSMul