Theorems · Theorem · measure theory
Measurable.subset
∀ {α : Type u_1} {β : Type u_2} [inst : MeasurableSpace β] [Countable α] {s t : β → Set α},
Measurable s → Measurable t → Measurable fun a => s a ⊆ t a- Cited by
- 1 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpaceCountable
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Measurablestatement and proof · cited by 1,499
- Countablestatement and proof · cited by 633
- Measurable.fun_compproof · cited by 95
- measurable_set_memproof · cited by 6
- Measurable.impproof · cited by 2
- Measurable.forallproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.IsSetBernoulli.ae_subsetproof · cited by 0