Theorems · Definition · measure theory
MeasureTheory.AEEqFun.toGerm
{α : Type u_1} →
{β : Type u_2} →
[inst : MeasurableSpace α] →
{μ : MeasureTheory.Measure α} → [inst_1 : TopologicalSpace β] → (α →ₘ[μ] β) → (MeasureTheory.ae μ).Germ βInterpret f : α →ₘ[μ] β as a germ at ae μ forgetting that f is almost everywhere
strongly measurable.
- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 22 results in Mathlib
- Foundations
- Depth 175 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
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEStronglyMeasurableproof · cited by 755
- Filter.Germstatement · cited by 102
- Filter.Germ.ofFunproof · cited by 73
- Quotient.liftOn'proof · cited by 19
Cited by26
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.comp_toGermstatement · cited by 5
- MeasureTheory.AEEqFun.comp₂_toGermstatement · cited by 4
- MeasureTheory.AEEqFun.LiftRelproof · cited by 2
- MeasureTheory.AEEqFun.toGermAddMonoidHomproof · cited by 1
- MeasureTheory.AEEqFun.toGermMonoidHomproof · cited by 1
- MeasureTheory.AEEqFun.toGerm_eqstatement and proof · cited by 1
- MeasureTheory.AEEqFun.compQuasiMeasurePreserving_toGermstatement and proof · cited by 1
- MeasureTheory.AEEqFun.mk_toGermstatement · cited by 1
- MeasureTheory.AEEqFun.mul_toGermstatement · cited by 0
- MeasureTheory.AEEqFun.neg_toGermstatement · cited by 0
- MeasureTheory.AEEqFun.one_toGermstatement · cited by 0
- MeasureTheory.AEEqFun.pow_toGermstatement · cited by 0