Theorems · Theorem · measure theory
MeasureTheory.toFinite_apply_eq_zero_iff
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : MeasureTheory.SFinite μ] {s : Set α},
μ.toFinite s = 0 ↔ μ s = 0- Cited by
- 0 results in Mathlib
- Foundations
- Depth 201 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · 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
- Compl.complproof · cited by 2,925
- MeasureTheory.aeproof · cited by 2,352
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.toFinitestatement · cited by 10
- MeasureTheory.ae_toFiniteproof · cited by 3
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