Theorems · Inductive type · Lie groups
NonarchimedeanAddGroup
(G : Type u_1) → [AddGroup G] → [TopologicalSpace G] → Prop
A topological additive group is nonarchimedean if every neighborhood of 0 contains an open subgroup.
- Cited by
- 10 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- AddGroupTopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement · cited by 24,529
- AddGroupstatement · cited by 4,410
Cited by12
Results whose statement or proof uses this declaration.
- NonarchimedeanAddGroup.is_nonarchimedeanstatement and proof · cited by 5
- NonarchimedeanAddGroup.summable_of_tendsto_cofinite_zerostatement and proof · cited by 2
- NonarchimedeanAddGroup.cauchySeq_sum_of_tendsto_cofinite_zerostatement and proof · cited by 1
- NonarchimedeanAddGroup.prod_self_subsetstatement and proof · cited by 1
- NonarchimedeanAddGroup.prod_subsetstatement and proof · cited by 1
- SubmodulesBasis.nonarchimedeanstatement · cited by 0
- NonarchimedeanAddGroup.casesOnstatement and proof · cited by 0
- NonarchimedeanAddGroup.cauchySeq_of_tendsto_sub_nhds_zerostatement and proof · cited by 0
- NonarchimedeanAddGroup.exists_openAddSubgroup_separatingstatement and proof · cited by 0
- NonarchimedeanAddGroup.nonarchimedean_of_embstatement and proof · cited by 0
- NonarchimedeanAddGroup.recOnstatement and proof · cited by 0
- NonarchimedeanAddGroup.summable_iff_tendsto_cofinite_zerostatement and proof · cited by 0