Theorems · Theorem · measure theory
MeasureTheory.FiniteMeasure.mono_null
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] {s t : Set Ω} (μ : MeasureTheory.FiniteMeasure Ω), s ⊆ t → μ t = 0 → μ s = 0- Cited by
- 1 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.
Cites7
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
- NNRealstatement · cited by 4,310
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- eq_bot_monoproof · cited by 17
- MeasureTheory.FiniteMeasure.apply_monoproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2