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Theorems · Theorem · measure theory

MeasureTheory.SimpleFunc.map_apply

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] (g : β → γ) (f : MeasureTheory.SimpleFunc α β)
  (a : α), (MeasureTheory.SimpleFunc.map g f) a = g (f a)
Defined in
Mathlib.MeasureTheory.Function.SimpleFunc
Cited by
3 results in Mathlib
Foundations
Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MeasurableSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

MeasureTheory.L1.SimpleFunc.norm_eq_sum_mul · cited by 2SimpleFunc.norm_eq_sum_mulMeasureTheory.SimpleFunc.posPart_map_norm · cited by 2SimpleFunc.posPart_map_no…MeasureTheory.L1.SimpleFunc.integral_eq_norm_posPart_sub · cited by 1SimpleFunc.integral_eq_no…DFunLike.coe · cited by 62936DFunLike.coeMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.SimpleFunc · cited by 411MeasureTheory.SimpleFuncMeasureTheory.SimpleFunc.map · cited by 54SimpleFunc.mapSimpleFunc.map_applyCITED BYCITES

Cites4

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Cited by3

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