Theorems · Theorem · measure theory
MeasureTheory.measure_symmDiff_eq_zero_iff
∀ {α : Type u_1} {F : Type u_3} [inst : FunLike F (Set α) ENNReal] [inst_1 : MeasureTheory.OuterMeasureClass F α]
{μ : F} {s t : Set α}, μ (symmDiff s t) = 0 ↔ s =ᵐ[μ] t- Defined in
- Mathlib.MeasureTheory.OuterMeasure.AE
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- ENNRealstatement and proof · cited by 9,879
- FunLikestatement and proof · cited by 2,560
- MeasureTheory.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- symmDiffstatement · cited by 236
- MeasureTheory.OuterMeasureClassstatement and proof · cited by 104
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.isClosed_setOfPred_preimage_ae_eqproof · cited by 3
- ZSpan.fundamentalDomain_ae_parallelepipedproof · cited by 2
- MeasureTheory.Measure.NullMeasurableSet.const_smulproof · cited by 0