Theorems · Theorem · Lie groups
compl_add_closure_zero_eq_iff
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [IsTopologicalAddGroup G] {t : Set G},
tᶜ + closure {0} = tᶜ ↔ t + closure {0} = t- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 85 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- AddGroupstatement and proof · cited by 4,410
- Compl.complstatement and proof · cited by 2,925
- IsTopologicalAddGroupstatement and proof · cited by 1,394
- closurestatement and proof · cited by 1,254
- Set.addstatement · cited by 338
- compl_complproof · cited by 229
- compl_add_closure_zero_eqproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- IsOpen.add_closure_zero_eqproof · cited by 1
- MeasurableSet.add_closure_zero_eqproof · cited by 1