Theorems · Theorem · measure theory
MeasureTheory.DominatedFinMeasAdditive.add_measure_right
∀ {α : Type u_1} {β : Type u_7} [inst : SeminormedAddCommGroup β] {T : Set α → β} {C : ℝ} {x : MeasurableSpace α}
(μ ν : MeasureTheory.Measure α),
MeasureTheory.DominatedFinMeasAdditive μ T C → 0 ≤ C → MeasureTheory.DominatedFinMeasAdditive (μ + ν) T C- Cited by
- 2 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SeminormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement and proof · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- le_rflproof · cited by 1,558
- MeasureTheory.DominatedFinMeasAdditivestatement and proof · cited by 138
- MeasureTheory.Measure.le_add_rightproof · cited by 12
- MeasureTheory.DominatedFinMeasAdditive.of_measure_leproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.setToFun_add_left''proof · cited by 3
- MeasureTheory.setToFun_add_measureproof · cited by 2