Theorems · Theorem · measure theory
MeasureTheory.lintegral_enorm_neg
∀ {α : Type u_1} {β : Type u_2} {m : MeasurableSpace α} {μ : MeasureTheory.Measure α} [inst : NormedAddCommGroup β]
{f : α → β}, ∫⁻ (a : α), ‖(-f) a‖ₑ ∂μ = ∫⁻ (a : α), ‖f a‖ₑ ∂μ- Cited by
- 0 results in Mathlib
- Foundations
- Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
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Cites7
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
- ENNRealstatement · cited by 9,879
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- ENorm.enormstatement and proof · cited by 715
- enorm_negproof · cited by 10
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