Theorems · Theorem · measure theory
MeasureTheory.measure_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 : Set α), μ (c +ᵥ s) = μ s- Defined in
- Mathlib.MeasureTheory.Group.Action
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 173 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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 · cited by 9,879
- AddGroupstatement and proof · cited by 4,410
- HVAdd.hVAddstatement · cited by 1,820
- AddActionstatement and proof · cited by 820
- Set.vaddSetstatement · cited by 403
- MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
- Set.preimage_vadd_negproof · cited by 10
- MeasureTheory.measure_preimage_vaddproof · cited by 3
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_vadd_eq_zero_iffproof · cited by 3
- MeasureTheory.measure_univ_of_isAddLeftInvariantproof · cited by 2
- MeasureTheory.measure_inter_neg_vaddproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.measure_ne_zeroproof · cited by 2
- MeasureTheory.measure_union_neg_vaddproof · cited by 1
- AddCircle.isAddFundamentalDomain_of_ae_ballproof · cited by 1
- MeasureTheory.measure_symmDiff_neg_vaddproof · cited by 1
- MeasureTheory.measure_sdiff_neg_vaddproof · cited by 1
- MeasureTheory.Measure.IsEverywherePos.IsGdelta_of_isAddLeftInvariantproof · cited by 1
- MeasureTheory.measure_isOpen_pos_of_vaddInvariant_of_compact_ne_zeroproof · cited by 1
- MeasureTheory.AddSubgroup.index_mul_measureproof · cited by 0