Theorems · Definition · measure theory
MeasureTheory.SimpleFunc.map
{α : Type u_1} →
{β : Type u_2} →
{γ : Type u_3} → [inst : MeasurableSpace α] → (β → γ) → MeasureTheory.SimpleFunc α β → MeasureTheory.SimpleFunc α γGiven a function g : β → γ and a simple function f : α →ₛ β, f.map g return the simple
function g ∘ f : α →ₛ γ
- Cited by
- 54 results in Mathlib
- Foundations
- Depth 84 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.constproof · cited by 50
- MeasureTheory.SimpleFunc.bindproof · cited by 2
Cited by60
Results whose statement or proof uses this declaration.
- Continuous.comp_stronglyMeasurableproof · cited by 18
- MeasureTheory.lintegral_iSupproof · cited by 16
- MeasureTheory.SimpleFunc.pairproof · cited by 16
- MeasureTheory.SimpleFunc.map_lintegralstatement and proof · cited by 7
- MeasureTheory.SimpleFunc.map_setToSimpleFuncstatement and proof · cited by 6
- MeasureTheory.lintegral_eq_nnrealstatement and proof · cited by 6
- MeasureTheory.SimpleFunc.posPartproof · cited by 5
- MeasureTheory.SimpleFunc.nearestPtproof · cited by 5
- MeasureTheory.SimpleFunc.add_lintegralproof · cited by 4
- MeasureTheory.StronglyMeasurable.approxBoundedproof · cited by 4
- MeasureTheory.SimpleFunc.eapproxDiffproof · cited by 3
- MeasureTheory.SimpleFunc.setToSimpleFunc_addproof · cited by 3