Theorems · Theorem · measure theory
MeasureTheory.SimpleFunc.FinMeasSupp.pair
∀ {α : Type u_1} {β : Type u_2} {γ : Type u_3} {m : MeasurableSpace α} [inst : Zero β] [inst_1 : Zero γ]
{μ : MeasureTheory.Measure α} {f : MeasureTheory.SimpleFunc α β} {g : MeasureTheory.SimpleFunc α γ},
f.FinMeasSupp μ → g.FinMeasSupp μ → (f.pair g).FinMeasSupp μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 174 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.
- DFunLike.coeproof · cited by 62,936
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Function.supportproof · cited by 610
- MeasureTheory.SimpleFuncstatement and proof · cited by 411
- MeasureTheory.measure_union_leproof · cited by 43
- ENNReal.add_lt_topproof · cited by 27
- MeasureTheory.SimpleFunc.FinMeasSuppstatement and proof · cited by 18
- MeasureTheory.SimpleFunc.pairstatement · cited by 16
- Function.support_prodMkproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- MeasureTheory.SimpleFunc.integrable_pairproof · cited by 2
- MeasureTheory.SimpleFunc.FinMeasSupp.map₂proof · cited by 2