Theorems · Theorem · Lie groups
closure_subset_mul_right_of_mem_nhds_one_of_inv
∀ {G : Type w} [inst : TopologicalSpace G] [inst_1 : Group G] [SeparatelyContinuousMul G] (s : Set G) {s' : Set G},
s' ∈ nhds 1 → (∀ x ∈ s', x⁻¹ ∈ 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
- Groupstatement and proof · cited by 6,238
- Set.imageproof · cited by 5,609
- nhdsstatement and proof · cited by 5,554
- mul_oneproof · cited by 3,885
- closurestatement and proof · cited by 1,254
- Set.mulstatement · cited by 297
- SeparatelyContinuousMulstatement and proof · cited by 133
- mul_inv_cancel_rightproof · cited by 53
- Set.mul_mem_mulproof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- closure_subset_of_mem_nhds_one_of_inv_mul_right_subsetproof · cited by 0