Theorems · Theorem · measure theory
MeasureTheory.dirac_eq_zero_iff_not_mem
∀ {α : Type u_1} [inst : MeasurableSpace α] {s : Set α} {a : α},
MeasurableSet s → ((MeasureTheory.Measure.dirac a) s = 0 ↔ a ∉ s)- Defined in
- Mathlib.MeasureTheory.Measure.Dirac
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 173 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.
Cites14
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 · cited by 9,879
- MeasurableSetstatement and proof · cited by 3,075
- Compl.complproof · cited by 2,925
- MeasureTheory.aeproof · cited by 2,352
- compl_complproof · cited by 229
- MeasureTheory.Measure.diracstatement and proof · cited by 210
- MeasureTheory.mem_ae_iffproof · cited by 16
- Set.notMem_compl_iffproof · cited by 15
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.