Theorems · Theorem · functional analysis

PointwiseConvergenceCLM.isUniformEmbedding_coeFn

∀ {𝕜₁ : Type u_4} {𝕜₂ : Type u_5} [inst : NormedField 𝕜₁] [inst_1 : NormedField 𝕜₂] (σ : 𝕜₁ →+* 𝕜₂) (E : Type u_7)
  (Fᵤ : Type u_9) [inst_2 : AddCommGroup E] [inst_3 : TopologicalSpace E] [inst_4 : AddCommGroup Fᵤ]
  [inst_5 : UniformSpace Fᵤ] [inst_6 : IsUniformAddGroup Fᵤ] [inst_7 : Module 𝕜₁ E] [inst_8 : Module 𝕜₂ Fᵤ],
  IsUniformEmbedding DFunLike.coe

Defined in

Mathlib.Topology.Algebra.Module.Spaces.PointwiseConvergenceCLM

Cited by

1 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldNormedFieldAddCommGroupTopologicalSpaceAddCommGroupUniformSpaceIsUniformAddGroupModuleModule