Theorems · Definition · general topology

SeparationQuotient.outCLM

(K : Type u_1) →
  (E : Type u_2) →
    [inst : DivisionRing K] →
      [inst_1 : AddCommGroup E] →
        [inst_2 : Module K E] →
          [inst_3 : TopologicalSpace E] →
            [inst_4 : IsTopologicalAddGroup E] → [inst_5 : ContinuousConstSMul K E] → SeparationQuotient E →L[K] E

A continuous K-linear map from SeparationQuotient E to E such that mk (outCLM x) = x for all x.

Defined in

Mathlib.Topology.Algebra.SeparationQuotient.Section

Cited by

11 results in Mathlib

Foundations

Depth 98 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

DivisionRingAddCommGroupModuleTopologicalSpaceIsTopologicalAddGroupContinuousConstSMul