Theorems · Theorem · measure theory
MeasureTheory.Measure.fst_prod
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace β] {μ : MeasureTheory.Measure α}
{ν : MeasureTheory.Measure β} [MeasureTheory.SFinite ν] [MeasureTheory.IsProbabilityMeasure ν], (μ.prod ν).fst = μ- Defined in
- Mathlib.MeasureTheory.Measure.Prod
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 218 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
- mul_oneproof · cited by 3,885
- MeasurableSetproof · cited by 3,075
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- MeasureTheory.Measure.prodstatement and proof · cited by 353
- MeasureTheory.Measure.extproof · cited by 308
Cited by3
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.partialTraj_eq_prodproof · cited by 3
- ProbabilityTheory.ofReal_cdfproof · cited by 2
- MeasureTheory.Measure.pi_prod_map_IicProdIocproof · cited by 1