Theorems · Theorem · measure theory
MeasureTheory.Measure.quasiMeasurePreserving_fst
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β}, MeasureTheory.Measure.QuasiMeasurePreserving Prod.fst (μ.prod ν) μ- Defined in
- Mathlib.MeasureTheory.Measure.Prod
- Cited by
- 12 results in Mathlib
- Foundations
- Depth 217 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- Set.univproof · cited by 3,945
- MeasurableSetproof · cited by 3,075
- MulZeroClass.zero_mulproof · cited by 1,625
- MeasureTheory.Measure.prodstatement and proof · cited by 353
- LE.le.trans_eqproof · cited by 328
- MeasureTheory.Measure.map_applyproof · cited by 139
- MeasureTheory.Measure.QuasiMeasurePreservingstatement · cited by 101
Cited by12
Results whose statement or proof uses this declaration.
- MeasureTheory.QuasiMeasurePreserving.fstproof · cited by 11
- MeasureTheory.AEStronglyMeasurable.comp_fstproof · cited by 5
- MeasureTheory.Measure.set_prod_ae_eqproof · cited by 2
- MeasureTheory.Measure.nullMeasurableSet_preimage_fstproof · cited by 1
- volume_regionBetween_eq_lintegralproof · cited by 1
- AEMeasurable.comp_fstproof · cited by 0
- nullMeasurableSet_regionBetweenproof · cited by 0
- nullMeasurableSet_region_between_ccproof · cited by 0
- nullMeasurableSet_region_between_coproof · cited by 0
- nullMeasurableSet_region_between_ocproof · cited by 0
- MeasureTheory.pdf.indepFun_iff_pdf_prod_eq_pdf_mul_pdfproof · cited by 0
- MeasureTheory.NullMeasurable.comp_fstproof · cited by 0