Theorems · Theorem · measure theory
MeasureTheory.Measure.pi_hyperplane
∀ {ι : Type u_1} {α : ι → Type u_3} [inst : Fintype ι] [inst_1 : (i : ι) → MeasurableSpace (α i)]
(μ : (i : ι) → MeasureTheory.Measure (α i)) [∀ (i : ι), MeasureTheory.SigmaFinite (μ i)] (i : ι)
[MeasureTheory.NullSingletonClass (μ i)] (x : α i), (MeasureTheory.Measure.pi μ) {f | f i = x} = 0- Defined in
- Mathlib.MeasureTheory.Constructions.Pi
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 232 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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 · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement · cited by 9,879
- Fintypestatement and proof · cited by 7,736
- Set.ofPredstatement · cited by 6,101
- Set.preimageproof · cited by 4,946
- MeasureTheory.SigmaFinitestatement and proof · cited by 526
- Function.evalproof · cited by 140
- MeasureTheory.Measure.pistatement and proof · cited by 130
- MeasureTheory.NullSingletonClassstatement and proof · cited by 125
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.pi_nullSingletonClassproof · cited by 1
- MeasureTheory.Measure.ae_eval_neproof · cited by 0