Theorems · Theorem · Lie groups
closure_subset_add_right_of_mem_nhds_zero_of_neg
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : AddGroup G] [SeparatelyContinuousAdd G] (s : Set G) {s' : Set G},
s' ∈ nhds 0 → (∀ x ∈ s', -x ∈ s') → closure s ⊆ s + s'- Defined in
- Mathlib.Topology.Algebra.Group.Pointwise
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Filterstatement · cited by 8,121
- Set.imageproof · cited by 5,609
- nhdsstatement and proof · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- add_zeroproof · cited by 2,707
- closurestatement and proof · cited by 1,254
- Set.addstatement · cited by 338
- SeparatelyContinuousAddstatement and proof · cited by 83
- add_neg_cancel_rightproof · cited by 65
- Set.image_add_leftproof · cited by 44
Cited by1
Results whose statement or proof uses this declaration.
- closure_subset_of_mem_nhds_zero_of_neg_add_right_subsetproof · cited by 0