Theorems · Theorem · measure theory
MeasureTheory.Measure.add_right_inj
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ ν₁ ν₂ : MeasureTheory.Measure α) [MeasureTheory.SigmaFinite μ],
μ + ν₁ = μ + ν₂ ↔ ν₁ = ν₂- Cited by
- 7 results in Mathlib
- Foundations
- Depth 204 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SigmaFinite
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
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasurableSetproof · cited by 3,075
- LT.lt.neproof · cited by 872
- LE.le.trans_ltproof · cited by 795
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- MeasureTheory.measure_monoproof · cited by 338
- Set.inter_subset_rightproof · cited by 329
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.restrict_applyproof · cited by 159
Cited by7
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.rnDeriv_add'proof · cited by 8
- MeasureTheory.Measure.rnDeriv_smul_leftproof · cited by 2
- MeasureTheory.Measure.rnDeriv_smul_rightproof · cited by 2
- MeasureTheory.Measure.rnDeriv_smul_right'proof · cited by 1
- MeasureTheory.Measure.rnDeriv_smul_left'proof · cited by 1
- MeasureTheory.Measure.rnDeriv_addproof · cited by 1
- MeasureTheory.Measure.add_left_injproof · cited by 0