Theorems · Theorem · measure theory

MeasureTheory.measure_neg_vadd_inter

∀ {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 ((-c +ᵥ s) ∩ t) = μ (s ∩ (c +ᵥ t))

Defined in: Mathlib.MeasureTheory.Group.Action
Cited by: 0 results in Mathlib
Foundations: Depth 175 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: AddGroup AddAction MeasureTheory.VAddInvariantMeasure

Mathlib docs Source Loogle LeanSearch

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 and proof · cited by 1,820
neg_negproof · cited by 960
AddActionstatement and proof · cited by 820
Set.vaddSetstatement · cited by 403
MeasureTheory.VAddInvariantMeasurestatement and proof · cited by 114
MeasureTheory.measure_inter_neg_vaddproof · cited by 2

Cited by0

Results whose statement or proof uses this declaration.

Nothing cites this yet.