Theorems · Theorem · measure theory
measurable_fun_prod
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : MeasurableSpace α} {mβ : MeasurableSpace β} {mγ : MeasurableSpace γ}
{f : α → β × γ}, Measurable f ↔ (Measurable fun a => (f a).1) ∧ Measurable fun a => (f a).2- Cited by
- 0 results in Mathlib
- Foundations
- Depth 71 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
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 and proof · cited by 1,499
- Measurable.compproof · cited by 234
- measurable_sndproof · cited by 94
- measurable_fstproof · cited by 79
- Measurable.prodproof · cited by 9
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