Theorems · Definition · functional analysis

ContinuousLinearEquiv.toContinuousAddEquiv

{R₁ : Type u_1} →
  [inst : Semiring R₁] →
    {M₁ : Type u_4} →
      [inst_1 : TopologicalSpace M₁] →
        [inst_2 : AddCommMonoid M₁] →
          [inst_3 : Module R₁ M₁] →
            {M : Type u_8} →
              [inst_4 : TopologicalSpace M] →
                [inst_5 : AddCommMonoid M] → [inst_6 : Module R₁ M] → (M₁ ≃L[R₁] M) → M₁ ≃ₜ+ M

A continuous linear equivalence seen as a ContinuousAddEquiv.

Defined in

Mathlib.Topology.Algebra.Module.Equiv

Cited by

1 results in Mathlib

Foundations

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

Assumes

SemiringTopologicalSpaceAddCommMonoidModuleTopologicalSpaceAddCommMonoidModule