Theorems · Theorem · measure theory

MeasureTheory.NullMeasurableSet.symmDiff

∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {s₁ s₂ : Set α},
  MeasureTheory.NullMeasurableSet s₁ μ →
    MeasureTheory.NullMeasurableSet s₂ μ → MeasureTheory.NullMeasurableSet (symmDiff s₁ s₂) μ

Defined in: Mathlib.MeasureTheory.Measure.NullMeasurable
Cited by: 2 results in Mathlib
Foundations: Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound

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Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement and proof · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
symmDiffstatement · cited by 236
MeasureTheory.NullMeasurableSet.diffproof · cited by 9
MeasureTheory.NullMeasurableSet.unionproof · cited by 3

Cited by2

Results whose statement or proof uses this declaration.

MeasureTheory.tendsto_measure_symmDiff_preimage_nhds_zeroproof · cited by 2
MeasureTheory.MeasurePreserving.measure_symmDiff_preimage_iterate_leproof · cited by 0