Theorems · Definition · functional analysis

ContinuousLinearMap.inl

(R : Type u_1) →
  [inst : Semiring R] →
    (M₁ : Type u_2) →
      [inst_1 : TopologicalSpace M₁] →
        [inst_2 : AddCommMonoid M₁] →
          [inst_3 : Module R M₁] →
            (M₂ : Type u_3) →
              [inst_4 : TopologicalSpace M₂] → [inst_5 : AddCommMonoid M₂] → [inst_6 : Module R M₂] → M₁ →L[R] M₁ × M₂

The left injection into a product is a continuous linear map.

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.PiProd

Cited by

39 results in Mathlib

Foundations

Depth 75 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringTopologicalSpaceAddCommMonoidModuleTopologicalSpaceAddCommMonoidModule