Theorems · Theorem · measure theory

MeasureTheory.AEEqFun.smul_mk

∀ {α : Type u_1} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α} [inst_1 : TopologicalSpace γ]
  {𝕜 : Type u_5} [inst_2 : SMul 𝕜 γ] [inst_3 : ContinuousConstSMul 𝕜 γ] (c : 𝕜) (f : α → γ)
  (hf : MeasureTheory.AEStronglyMeasurable f μ), c • MeasureTheory.AEEqFun.mk f hf = MeasureTheory.AEEqFun.mk (c • f) ⋯

Defined in: Mathlib.MeasureTheory.Function.AEEqFun
Cited by: 0 results in Mathlib
Foundations: Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace TopologicalSpace SMul ContinuousConstSMul

Mathlib docs Source Loogle LeanSearch

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.

TopologicalSpacestatement and proof · cited by 24,529
MeasurableSpacestatement and proof · cited by 13,106
MeasureTheory.Measurestatement and proof · cited by 10,939
MeasureTheory.AEEqFunstatement · cited by 856
ContinuousConstSMulstatement and proof · cited by 832
MeasureTheory.AEStronglyMeasurablestatement and proof · cited by 755
MeasureTheory.AEEqFun.mkstatement · cited by 62
MeasureTheory.AEStronglyMeasurable.const_smulstatement · cited by 11

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.