Theorems · Theorem · functional analysis

ContinuousLinearMap.toBilinForm_apply

∀ {𝕜 : Type u_2} {E : Type u_5} [inst : NormedField 𝕜] [inst_1 : AddCommGroup E] [inst_2 : Module 𝕜 E]
  [inst_3 : TopologicalSpace E] (L : E →L[𝕜] E →L[𝕜] 𝕜) (v w : E), (L.toBilinForm v) w = (L v) w

Defined in

Mathlib.Topology.Algebra.Module.Spaces.ContinuousLinearMap

Cited by

1 results in Mathlib

Foundations

Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedFieldAddCommGroupModuleTopologicalSpace