Theorems · Theorem · functional analysis

LinearMap.toSeminorm_comp

∀ {𝕜 : Type u_1} {E : Type u_2} {F : Type u_3} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : AddCommGroup F] [inst_4 : Module 𝕜 F] (f : F →ₗ[𝕜] 𝕜) (g : E →ₗ[𝕜] F),
  f.toSeminorm.comp g = (f ∘ₗ g).toSeminorm

Defined in

Mathlib.Analysis.LocallyConvex.WeakDual

Cited by

0 results in Mathlib

Foundations

Depth 123 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupModuleAddCommGroupModule