Theorems · Theorem · measure theory
interior_ae_eq_of_null_frontier
∀ {α' : Type u_6} [inst : TopologicalSpace α'] [inst_1 : MeasurableSpace α'] {μ : MeasureTheory.Measure α'}
{s : Set α'}, μ (frontier s) = 0 → interior s =ᵐ[μ] s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 171 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- interiorstatement · cited by 714
- subset_closureproof · cited by 309
- frontierstatement and proof · cited by 214
- interior_subsetproof · cited by 171
Cited by2
Results whose statement or proof uses this declaration.
- nullMeasurableSet_of_null_frontierproof · cited by 2
- measure_interior_of_null_frontierproof · cited by 0