Theorems · Definition · measure theory
MeasureTheory.SimpleFunc.pair
{α : Type u_1} →
{β : Type u_2} →
{γ : Type u_3} →
[inst : MeasurableSpace α] →
MeasureTheory.SimpleFunc α β → MeasureTheory.SimpleFunc α γ → MeasureTheory.SimpleFunc α (β × γ)Combine two simple functions f : α →ₛ β and g : α →ₛ β
into fun a => (f a, g a).
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.SimpleFunc.mapproof · cited by 54
- MeasureTheory.SimpleFunc.seqproof · cited by 1
Cited by16
Results whose statement or proof uses this declaration.
- MeasureTheory.StronglyMeasurable.prodMkproof · cited by 11
- MeasureTheory.SimpleFunc.add_lintegralproof · cited by 4
- MeasureTheory.SimpleFunc.setToSimpleFunc_addproof · cited by 3
- MeasureTheory.SimpleFunc.add_eq_map₂statement · cited by 3
- MeasureTheory.SimpleFunc.FinMeasSupp.pairstatement · cited by 2
- MeasureTheory.SimpleFunc.integrable_pairstatement · cited by 2
- MeasureTheory.SimpleFunc.lintegral_mono_funproof · cited by 2
- MeasureTheory.SimpleFunc.FinMeasSupp.map₂statement · cited by 2
- MeasureTheory.SimpleFunc.mul_eq_map₂statement · cited by 1
- MeasureTheory.SimpleFunc.setToSimpleFunc_congr'proof · cited by 1
- MeasureTheory.SimpleFunc.map_fst_pairstatement · cited by 1
- MeasureTheory.SimpleFunc.pair_preimagestatement · cited by 1