Theorems · Theorem · measure theory
MeasureTheory.FinMeasAdditive.add
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {β : Type u_7} {T T' : Set α → β}
[inst : AddCommMonoid β],
MeasureTheory.FinMeasAdditive μ T → MeasureTheory.FinMeasAdditive μ T' → MeasureTheory.FinMeasAdditive μ (T + T')- Cited by
- 3 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddCommMonoid
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.
- DFunLike.coeproof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- AddCommMonoidstatement and proof · cited by 12,281
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- MeasurableSetproof · cited by 3,075
- Disjointproof · cited by 2,201
- MeasureTheory.FinMeasAdditivestatement and proof · cited by 34
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.DominatedFinMeasAdditive.addproof · cited by 3
- MeasureTheory.FinMeasAdditive.add_measureproof · cited by 1
- MeasureTheory.FinMeasAdditive.subproof · cited by 0