Theorems · Theorem · measure theory
MeasureTheory.ae_eq_of_ae_subset_of_measure_ge
∀ {α : Type u_1} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s t : Set α},
s ≤ᵐ[μ] t → μ t ≤ μ s → MeasureTheory.NullMeasurableSet s μ → μ t ≠ ⊤ → s =ᵐ[μ] t- Cited by
- 3 results in Mathlib
- Foundations
- Depth 193 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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 and proof · cited by 9,879
- Top.topstatement and proof · cited by 9,680
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- LE.le.antisymmproof · cited by 507
- Filter.EventuallyLEstatement and proof · cited by 383
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- tsub_selfproof · cited by 154
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.ae_eq_of_subset_of_measure_geproof · cited by 3
- Ergodic.ae_empty_or_univ_of_ae_le_preimage'proof · cited by 2
- Ergodic.ae_empty_or_univ_of_preimage_ae_le'proof · cited by 1