Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.null_iff_toMeasure_null
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (ν : MeasureTheory.FiniteMeasure Ω) (s : Set Ω), ν s = 0 ↔ ↑ν s = 0- Cited by
- 3 results in Mathlib
- Foundations
- Depth 178 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.toNNRealproof · cited by 165
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.FiniteMeasure.toMeasurestatement and proof · cited by 87
- ENNReal.coe_zeroproof · cited by 13
- MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 11
Cited by3
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_le_of_isCompactproof · cited by 2
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2