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Theorems · Definition · measure theory

MeasureTheory.VectorMeasure.restrictGm

{M : Type u_3} →
  [inst : AddCommMonoid M] →
    [inst_1 : TopologicalSpace M] →
      [inst_2 : ContinuousAdd M] →
        {α : Type u_4} →
          [inst_3 : MeasurableSpace α] → Set α → MeasureTheory.VectorMeasure α M →+ MeasureTheory.VectorMeasure α M

VectorMeasure.restrict as an additive monoid homomorphism.

Defined in
Mathlib.MeasureTheory.VectorMeasure.Basic
Cited by
1 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddCommMonoidTopologicalSpaceContinuousAddMeasurableSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.VectorMeasure.restrictGm_apply · cited by 0VectorMeasure.restrictGm_…Set · cited by 53352SetTopologicalSpace · cited by 24529TopologicalSpaceMeasurableSpace · cited by 13106MeasurableSpaceAddCommMonoid · cited by 12281AddCommMonoidAddMonoidHom · cited by 3230AddMonoidHomContinuousAdd · cited by 777ContinuousAddMeasureTheory.VectorMeasure · cited by 451MeasureTheory.VectorMeasu…MeasureTheory.VectorMeasure.restrict · cited by 139VectorMeasure.restrictMeasureTheory.VectorMeasure.restrict_zero · cited by 3VectorMeasure.restrict_ze…MeasureTheory.VectorMeasure.restrict_add · cited by 1VectorMeasure.restrict_addVectorMeasure.restrictGmCITED BYCITES

Cites10

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.