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Theorems · Definition · measure theory

MeasureTheory.SimpleFunc.toLargerSpace

{β : Type u_6} →
  {γ : Type u_7} → {m m0 : MeasurableSpace β} → m ≤ m0 → MeasureTheory.SimpleFunc β γ → MeasureTheory.SimpleFunc β γ

Simple function seen as simple function of a larger MeasurableSpace.

Defined in
Mathlib.MeasureTheory.Integral.Bochner.Basic
Cited by
4 results in Mathlib
Foundations
Depth 14 from the axioms · uses no axioms
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Around this declaration

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

MeasureTheory.integral_simpleFunc_larger_space · cited by 1MeasureTheory.integral_si…MeasureTheory.SimpleFunc.coe_toLargerSpace_eq · cited by 1SimpleFunc.coe_toLargerSp…MeasureTheory.Integrable.simpleFunc_mul' · cited by 0Integrable.simpleFunc_mul'MeasureTheory.SimpleFunc.toLargerSpace.congr_simp · cited by 0toLargerSpace.congr_simpMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.SimpleFunc · cited by 411MeasureTheory.SimpleFuncMeasureTheory.SimpleFunc.finite_range · cited by 8SimpleFunc.finite_rangeMeasureTheory.SimpleFunc.toFun · cited by 2SimpleFunc.toFunSimpleFunc.toLargerSpaceCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by4

Results whose statement or proof uses this declaration.