Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.ext
∀ {α : Type u_1} {m : MeasurableSpace α} {M : Type u_3} [inst : AddCommMonoid M] [inst_1 : TopologicalSpace M]
{s t : MeasureTheory.VectorMeasure α M}, (∀ (i : Set α), MeasurableSet i → s i = t i) → s = t- Cited by
- 65 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- MeasurableSetstatement and proof · cited by 3,075
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.ext_iffproof · cited by 1
Cited by65
Results whose statement or proof uses this declaration.
- MeasureTheory.SignedMeasure.toSignedMeasure_toJordanDecompositionproof · cited by 10
- MeasureTheory.VectorMeasure.restrict_emptyproof · cited by 8
- MeasureTheory.withDensityᵥ_zeroproof · cited by 5
- MeasureTheory.VectorMeasure.restrict_univproof · cited by 4
- MeasureTheory.withDensityᵥ_addproof · cited by 4
- MeasureTheory.VectorMeasure.restrict_diracproof · cited by 4
- MeasureTheory.VectorMeasure.restrict_restrictproof · cited by 3
- MeasureTheory.VectorMeasure.restrict_zeroproof · cited by 3
- MeasureTheory.withDensityᵥ_negproof · cited by 3
- MeasureTheory.WithDensityᵥEq.congr_aeproof · cited by 3
- MeasureTheory.VectorMeasure.mapRange_addproof · cited by 3
- MeasureTheory.VectorMeasure.restrict_inter_add_sdiffproof · cited by 3