Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.comp_toGerm
∀ {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).toGerm = Filter.Germ.map g f.toGerm- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 179 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 · cited by 2,352
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEStronglyMeasurableproof · cited by 755
- Filter.Germstatement · cited by 102
- Filter.Germ.ofFunproof · cited by 73
- MeasureTheory.AEEqFun.toGermstatement · cited by 22
- Filter.Germ.mapstatement · cited by 10
- MeasureTheory.AEEqFun.compstatement · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.neg_toGermproof · cited by 0
- MeasureTheory.AEEqFun.inv_toGermproof · cited by 0
- MeasureTheory.AEEqFun.pow_toGermproof · cited by 0
- MeasureTheory.AEEqFun.zpow_toGermproof · cited by 0
- MeasureTheory.AEEqFun.smul_toGermproof · cited by 0