Theorems · Theorem · measure theory
MeasureTheory.IntegrableAtFilter.neg
∀ {α : Type u_1} {E : Type u_5} {mα : MeasurableSpace α} [inst : NormedAddCommGroup E] {μ : MeasureTheory.Measure α}
{l : Filter α} {f : α → E}, MeasureTheory.IntegrableAtFilter f l μ → MeasureTheory.IntegrableAtFilter (-f) l μ- Cited by
- 4 results in Mathlib
- Foundations
- Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Filterstatement and proof · cited by 8,121
- MeasureTheory.IntegrableOnproof · cited by 548
- MeasureTheory.IntegrableAtFilterstatement and proof · cited by 66
- MeasureTheory.IntegrableOn.negproof · cited by 11
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.IntegrableAtFilter.subproof · cited by 2
- MeasureTheory.integrableAtFilter_neg_iffproof · cited by 0
- MeasureTheory.LocallyIntegrableOn.negproof · cited by 0
- MeasureTheory.LocallyIntegrable.negproof · cited by 0