Theorems · Theorem · probability
MeasureTheory.Measure.compProd_id
∀ {α : Type u_1} {mα : MeasurableSpace α} {μ : MeasureTheory.Measure α} [MeasureTheory.SFinite μ],
μ.compProd ProbabilityTheory.Kernel.id = MeasureTheory.Measure.map Function.diag μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 228 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasureTheory.SFinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.preimageproof · cited by 4,946
- MeasurableSetproof · cited by 3,075
- MeasureTheory.lintegralproof · cited by 1,152
- MeasureTheory.Measure.mapstatement and proof · cited by 858
- MeasureTheory.SFinitestatement and proof · cited by 449
- MeasureTheory.Measure.extproof · cited by 308
- MeasureTheory.Measure.map_applyproof · cited by 139
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.compProd_id_eq_copy_compproof · cited by 2