Theorems · Definition · functional analysis

ContinuousLinearMap.toLinearMap

{R : Type u_1} →
  {S : Type u_2} →
    [inst : Semiring R] →
      [inst_1 : Semiring S] →
        {σ : R →+* S} →
          {M : Type u_3} →
            [inst_2 : TopologicalSpace M] →
              [inst_3 : AddCommMonoid M] →
                {M₂ : Type u_4} →
                  [inst_4 : TopologicalSpace M₂] →
                    [inst_5 : AddCommMonoid M₂] →
                      [inst_6 : Module R M] → [inst_7 : Module S M₂] → (M →SL[σ] M₂) → M →ₛₗ[σ] M₂

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic

Cited by

528 results in Mathlib

Foundations

Depth 12 from the axioms, rests on 85 definitions · uses no axioms

Assumes

SemiringSemiringTopologicalSpaceAddCommMonoidTopologicalSpaceAddCommMonoidModuleModule