Theorems · Theorem · measure theory
measurable_fst
∀ {α : Type u_1} {β : Type u_2} {x : MeasurableSpace α} {x_1 : MeasurableSpace β}, Measurable Prod.fst- Cited by
- 79 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Measurablestatement · cited by 1,499
- le_sup_leftproof · cited by 265
- Measurable.of_comap_leproof · cited by 10
Cited by82
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.fstproof · cited by 81
- MeasurableSet.prodproof · cited by 56
- Measurable.fstproof · cited by 51
- measurable_swapproof · cited by 42
- AEMeasurable.fstproof · cited by 22
- Measurable.prodMapproof · cited by 19
- ProbabilityTheory.Kernel.prodMkRightproof · cited by 18
- MeasureTheory.Measure.quasiMeasurePreserving_fstproof · cited by 12
- ProbabilityTheory.Kernel.fst_apply'proof · cited by 10
- MeasureTheory.Measure.fst_applyproof · cited by 9
- MeasureTheory.Measure.fst_map_prodMk₀proof · cited by 9
- MeasureTheory.Measure.map_fst_prodproof · cited by 9