Theorems · Theorem · category theory

TopModuleCat.hom_ofHom

∀ (R : Type u) [inst : Ring R] [inst_1 : TopologicalSpace R] {X Y : Type v} [inst_2 : AddCommGroup X]
  [inst_3 : Module R X] [inst_4 : TopologicalSpace X] [inst_5 : ContinuousAdd X] [inst_6 : ContinuousSMul R X]
  [inst_7 : AddCommGroup Y] [inst_8 : Module R Y] [inst_9 : TopologicalSpace Y] [inst_10 : ContinuousAdd Y]
  [inst_11 : ContinuousSMul R Y] (f : X →L[R] Y), TopModuleCat.Hom.hom (TopModuleCat.ofHom f) = f

Defined in

Mathlib.Algebra.Category.ModuleCat.Topology.Basic

Cited by

0 results in Mathlib

Foundations

Depth 78 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

RingTopologicalSpaceAddCommGroupModuleTopologicalSpaceContinuousAddContinuousSMulAddCommGroupModuleTopologicalSpaceContinuousAddContinuousSMul