Theorems · Theorem · measure theory
MeasureTheory.lintegral_sub_left_eq_self
∀ {G : Type u_1} [inst : MeasurableSpace G] {μ : MeasureTheory.Measure G} [inst_1 : AddGroup G] [MeasurableAdd G]
[μ.IsAddLeftInvariant] [MeasurableNeg G] [μ.IsNegInvariant] (f : G → ENNReal) (g : G),
∫⁻ (x : G), f (g - x) ∂μ = ∫⁻ (x : G), f x ∂μ- Defined in
- Mathlib.MeasureTheory.Group.LIntegral
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- AddGroupstatement and proof · cited by 4,410
- MeasureTheory.lintegralstatement and proof · cited by 1,152
- sub_eq_add_negproof · cited by 1,023
- MeasureTheory.Measure.IsAddLeftInvariantstatement and proof · cited by 148
- MeasurableNegstatement and proof · cited by 130
- MeasurableAddstatement and proof · cited by 78
- MeasureTheory.Measure.IsNegInvariantstatement and proof · cited by 42
- MeasureTheory.lintegral_add_left_eq_selfproof · cited by 4
- MeasureTheory.lintegral_neg_eq_selfproof · cited by 2
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