Theorems · Theorem · measure theory
MeasureTheory.dominatedFinMeasAdditive_weightedSMul
∀ {α : Type u_1} {F : Type u_3} [inst : NormedAddCommGroup F] [inst_1 : NormedSpace ℝ F] {x : MeasurableSpace α}
(μ : MeasureTheory.Measure α), MeasureTheory.DominatedFinMeasAdditive μ (MeasureTheory.weightedSMul μ) 1- Cited by
- 35 results in Mathlib
- Foundations
- Depth 194 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
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
- Realstatement and proof · cited by 25,697
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Top.topproof · cited by 9,680
- ContinuousLinearMapstatement · cited by 5,352
- LE.le.transproof · cited by 3,151
- MeasurableSetproof · cited by 3,075
Cited by35
Results whose statement or proof uses this declaration.
- MeasureTheory.integral_congr_aeproof · cited by 110
- MeasureTheory.integral_constproof · cited by 75
- MeasureTheory.integral_zeroproof · cited by 59
- MeasureTheory.integral_undefproof · cited by 58
- MeasureTheory.integral_subproof · cited by 55
- MeasureTheory.integral_zero_measureproof · cited by 50
- MeasureTheory.integral_addproof · cited by 49
- MeasureTheory.integral_eq_setToFunstatement · cited by 31
- MeasureTheory.integral_negproof · cited by 30
- MeasureTheory.integral_smulproof · cited by 23
- MeasureTheory.integral_smul_measureproof · cited by 22
- MeasureTheory.integral_nonneg_of_aeproof · cited by 17