Theorems · Theorem · measure theory
measurableSet_swap_iff
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {mβ : MeasurableSpace β} {s : Set (α × β)},
MeasurableSet (Prod.swap ⁻¹' s) ↔ MeasurableSet s- Cited by
- 2 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- Set.preimagestatement and proof · cited by 4,946
- MeasurableSetstatement and proof · cited by 3,075
- measurable_swapproof · cited by 42
Cited by2
Results whose statement or proof uses this declaration.
- measurable_measure_prodMk_rightproof · cited by 4
- ProbabilityTheory.Kernel.measurable_kernel_prodMk_rightproof · cited by 0