Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.variation_zero
∀ {X : Type u_1} {V : Type u_2} {mX : MeasurableSpace X} [inst : TopologicalSpace V] [inst_1 : ENormedAddCommMonoid V]
[inst_2 : T2Space V], MeasureTheory.VectorMeasure.variation 0 = 0- Cited by
- 9 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- T2Spacestatement and proof · cited by 1,351
- ENorm.enormproof · cited by 715
- MeasureTheory.VectorMeasurestatement · cited by 451
- zero_applyproof · cited by 251
- MeasureTheory.VectorMeasure.variationstatement · cited by 125
- enorm_zeroproof · cited by 44
- ENormedAddCommMonoidstatement and proof · cited by 32
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.VectorMeasure.integral_zero_vectorMeasureproof · cited by 11
- MeasureTheory.VectorMeasure.variation_restrict_leproof · cited by 5
- MeasureTheory.VectorMeasure.variation_map_leproof · cited by 4
- MeasureTheory.VectorMeasure.variation_smulproof · cited by 2
- MeasureTheory.VectorMeasure.variation_eq_zeroproof · cited by 1
- MeasureTheory.VectorMeasure.variation_WithDensity_leproof · cited by 1
- MeasureTheory.VectorMeasure.Integrable.zero_vectorMeasureproof · cited by 0
- MeasureTheory.VectorMeasure.variation_finsetSum_leproof · cited by 0
- MeasureTheory.Measure.variation_withDensityᵥproof · cited by 0