Theorems · Theorem · measure theory
MeasureTheory.VectorMeasure.variation.congr_simp
∀ {X : Type u_1} {mX : MeasurableSpace X} {V : Type u_2} [inst : TopologicalSpace V] [inst_1 : ENormedAddCommMonoid V]
[inst_2 : T2Space V] (μ μ_1 : MeasureTheory.VectorMeasure X V), μ = μ_1 → μ.variation = μ_1.variation- Cited by
- 9 results in Mathlib
- Foundations
- Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- MeasureTheory.VectorMeasurestatement and proof · cited by 451
- MeasureTheory.VectorMeasure.variationstatement and proof · cited by 125
- ENormedAddCommMonoidstatement and proof · cited by 32
Cited by9
Results whose statement or proof uses this declaration.
- 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.integral_diracproof · cited by 2
- MeasureTheory.VectorMeasure.integral_dirac'proof · cited by 2
- MeasureTheory.VectorMeasure.variation_eq_zeroproof · cited by 1
- MeasureTheory.VectorMeasure.variation_WithDensity_leproof · cited by 1
- MeasureTheory.VectorMeasure.variation_finsetSum_leproof · cited by 0
- MeasureTheory.Measure.variation_withDensityᵥproof · cited by 0