Theorems · Theorem · measure theory
MeasureTheory.measure_sdiff_neg_vadd
∀ {G : Type u} {α : Type w} {m : MeasurableSpace α} [inst : AddGroup G] [inst_1 : AddAction G α]
(μ : MeasureTheory.Measure α) [MeasureTheory.VAddInvariantMeasure G α μ] (c : G) (s t : Set α),
μ (s \ (-c +ᵥ t)) = μ ((c +ᵥ s) \ t)- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 1 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.
Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- 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
- HVAdd.hVAddstatement and proof · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- add_neg_cancelproof · cited by 213
- MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
- zero_vaddproof · cited by 95
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_neg_vadd_sdiffproof · cited by 0