Theorems · Theorem · measure theory
MeasureTheory.measure_eq_measure_of_between_null_sdiff
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s₁ s₂ s₃ : Set α},
s₁ ⊆ s₂ → s₂ ⊆ s₃ → μ (s₃ \ s₁) = 0 → μ s₁ = μ s₂ ∧ μ s₂ = μ s₃- Cited by
- 4 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- LE.le.transproof · cited by 3,151
- zero_addproof · cited by 2,366
- LE.le.antisymmproof · cited by 507
- MeasureTheory.measure_monoproof · cited by 338
- MeasureTheory.measure_union_leproof · cited by 43
- Set.sdiff_union_of_subsetproof · cited by 18
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.measureReal_eq_measureReal_of_between_null_sdiffproof · cited by 2
- MeasureTheory.measure_eq_measure_larger_of_between_null_sdiffproof · cited by 1
- MeasureTheory.measure_eq_measure_smaller_of_between_null_sdiffproof · cited by 1
- MeasureTheory.measure_eq_measure_of_between_null_diffproof · cited by 0