Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.comp_eq_mk
∀ {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 = MeasureTheory.AEEqFun.mk (g ∘ ↑f) ⋯- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.caststatement and proof · cited by 380
- Continuous.comp_aestronglyMeasurablestatement · cited by 77
- MeasureTheory.AEEqFun.mkstatement · cited by 62
- MeasureTheory.AEEqFun.aestronglyMeasurablestatement and proof · cited by 26
- MeasureTheory.AEEqFun.mk_coeFnproof · cited by 11
- MeasureTheory.AEEqFun.compstatement and proof · cited by 10
- MeasureTheory.AEEqFun.comp_mkproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.coeFn_compproof · cited by 8