Theorems · Theorem · functional analysis

ContinuousLinearMap.llcomp_apply

∀ (R : Type u_1) (U : Type u_2) (V : Type u_3) (W : Type u_4) [inst : CommSemiring R] [inst_1 : AddCommMonoid U]
  [inst_2 : Module R U] [inst_3 : TopologicalSpace U] [inst_4 : AddCommMonoid V] [inst_5 : Module R V]
  [inst_6 : TopologicalSpace V] [inst_7 : ContinuousAdd V] [inst_8 : ContinuousConstSMul R V] [inst_9 : AddCommMonoid W]
  [inst_10 : Module R W] [inst_11 : TopologicalSpace W] [inst_12 : ContinuousAdd W] [inst_13 : ContinuousConstSMul R W]
  (l : U →L[R] V), (ContinuousLinearMap.llcomp R U V W) l = ContinuousLinearMap.lcomp W l

Defined in

Mathlib.Topology.Algebra.Module.ContinuousLinearMap.Basic

Cited by

0 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddCommMonoidModuleTopologicalSpaceAddCommMonoidModuleTopologicalSpaceContinuousAddContinuousConstSMulAddCommMonoidModuleTopologicalSpaceContinuousAddContinuousConstSMul