Theorems · Theorem · functional analysis
MeasureTheory.AEEqFun.Integrable.sub
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup β]
{f g : α →ₘ[μ] β}, f.Integrable → g.Integrable → (f - g).Integrable- Cited by
- 0 results in Mathlib
- Foundations
- Depth 209 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- sub_eq_add_negproof · cited by 1,023
- MeasureTheory.AEEqFunstatement and proof · cited by 856
- MeasureTheory.AEEqFun.Integrablestatement and proof · cited by 8
- MeasureTheory.AEEqFun.Integrable.addproof · cited by 1
- MeasureTheory.AEEqFun.Integrable.negproof · cited by 1
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