Theorems · Theorem · Lie groups
NonarchimedeanAddGroup.is_nonarchimedean
∀ {G : Type u_1} {inst : AddGroup G} {inst_1 : TopologicalSpace G} [self : NonarchimedeanAddGroup G],
∀ U ∈ nhds 0, ∃ V, ↑V ⊆ U- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- NonarchimedeanAddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- SetLike.coestatement · cited by 8,199
- Filterstatement · cited by 8,121
- nhdsstatement · cited by 5,554
- AddGroupstatement and proof · cited by 4,410
- OpenAddSubgroupstatement · cited by 47
- NonarchimedeanAddGroupstatement and proof · cited by 10
Cited by5
Results whose statement or proof uses this declaration.
- NonarchimedeanAddGroup.prod_subsetproof · cited by 1
- NonarchimedeanAddGroup.cauchySeq_sum_of_tendsto_cofinite_zeroproof · cited by 1
- NonarchimedeanAddGroup.nonarchimedean_of_embproof · cited by 0
- NonarchimedeanAddGroup.cauchySeq_of_tendsto_sub_nhds_zeroproof · cited by 0
- NonarchimedeanAddGroup.exists_openAddSubgroup_separatingproof · cited by 0