Theorems · Theorem · measure theory
MeasureTheory.DominatedFinMeasAdditive.add
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_7} [inst : SeminormedAddCommGroup β]
{T T' : Set α → β} {C C' : ℝ},
MeasureTheory.DominatedFinMeasAdditive μ T C →
MeasureTheory.DominatedFinMeasAdditive μ T' C' → MeasureTheory.DominatedFinMeasAdditive μ (T + T') (C + C')- Cited by
- 3 results in Mathlib
- Foundations
- Depth 172 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.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- 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
- Top.topproof · cited by 9,680
- Norm.normproof · cited by 5,413
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
- SeminormedAddCommGroupstatement and proof · cited by 2,671
- add_le_addproof · cited by 666
- MeasureTheory.Measure.realproof · cited by 530
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.setToFun_add_leftstatement and proof · cited by 1
- MeasureTheory.L1.SimpleFunc.setToL1SCLM_add_leftstatement · cited by 1
- MeasureTheory.L1.setToL1_add_leftstatement and proof · cited by 1