Theorems · Theorem · Lie groups
MeasurableSet.add_closure_zero_eq
∀ {G : Type u_1} [inst : MeasurableSpace G] [inst_1 : TopologicalSpace G] [BorelSpace G] [inst_3 : AddGroup G]
[IsTopologicalAddGroup G] {s : Set G}, MeasurableSet s → s + closure {0} = s- Defined in
- Mathlib.MeasureTheory.Group.Measure
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- MeasurableSpacestatement and proof · cited by 13,106
- AddGroupstatement and proof · cited by 4,410
- MeasurableSetstatement and proof · cited by 3,075
- Set.iUnionproof · cited by 2,483
- IsOpenproof · cited by 2,400
- Disjointproof · cited by 2,201
- BorelSpacestatement and proof · cited by 1,602
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- Function.onFunproof · cited by 570
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_add_closure_zeroproof · cited by 0