Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.coeFn_smul
∀ {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 →ₘ[μ] γ), ↑(c • f) =ᵐ[μ] c • ↑f- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 182 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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.aestatement · cited by 2,352
- Filter.EventuallyEqstatement · cited by 1,912
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- ContinuousConstSMulstatement and proof · cited by 832
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.AEEqFun.coeFn_compproof · cited by 8
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.Lp.coeFn_smulproof · cited by 11
- MeasureTheory.Lp.const_smul_mem_Lpproof · cited by 0