Theorems · Theorem · measure theory
MeasureTheory.AEEqFun.pair_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] (f : α →ₘ[μ] β) (g : α →ₘ[μ] γ),
f.pair g = MeasureTheory.AEEqFun.mk (fun x => (↑f x, ↑g x)) ⋯- Defined in
- Mathlib.MeasureTheory.Function.AEEqFun
- Cited by
- 3 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.
Cites10
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.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.caststatement · cited by 380
- MeasureTheory.AEEqFun.mkstatement · cited by 62
- MeasureTheory.AEEqFun.aestronglyMeasurablestatement · cited by 26
- MeasureTheory.AEStronglyMeasurable.prodMkstatement · cited by 18
- MeasureTheory.AEEqFun.mk_coeFnproof · cited by 11
- MeasureTheory.AEEqFun.pairstatement and proof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- MeasureTheory.AEEqFun.comp₂_eq_mkproof · cited by 1
- MeasureTheory.AEEqFun.comp₂Measurable_eq_mkproof · cited by 1
- MeasureTheory.AEEqFun.coeFn_pairproof · cited by 0