Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.coeFn_comp
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} [inst : MeasurableSpace α] {μ : MeasureTheory.Measure α}
[inst_1 : TopologicalSpace β] [inst_2 : TopologicalSpace γ] (g : β → γ) (hg : Continuous g) (f : α →ₘ[μ] β),
↑(MeasureTheory.AEEqFun.comp g hg f) =ᵐ[μ] g ∘ ↑f- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Continuousstatement and proof · cited by 2,592
- MeasureTheory.aestatement and proof · cited by 2,352
- Filter.EventuallyEqstatement and proof · cited by 1,912
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.caststatement and proof · cited by 380
- Continuous.comp_aestronglyMeasurableproof · cited by 77
- MeasureTheory.AEEqFun.aestronglyMeasurableproof · cited by 26
- MeasureTheory.AEEqFun.coeFn_mkproof · cited by 18
- MeasureTheory.AEEqFun.compstatement · cited by 10
Cited by8
Results whose statement or proof uses this declaration.
- LipschitzWith.coeFn_compLpproof · cited by 3
- MeasureTheory.AEEqFun.coeFn_negproof · cited by 2
- MeasureTheory.AEEqFun.coeFn_smulproof · cited by 2
- MeasureTheory.AEEqFun.coeFn_starproof · cited by 2
- MeasureTheory.AEEqFun.coeFn_posPartproof · cited by 1
- MeasureTheory.AEEqFun.coeFn_powproof · cited by 0
- MeasureTheory.AEEqFun.coeFn_zpowproof · cited by 0
- MeasureTheory.AEEqFun.coeFn_invproof · cited by 0