Theorems · Theorem · Lie groups
NonarchimedeanGroup.is_nonarchimedean
∀ {G : Type u_1} {inst : Group G} {inst_1 : TopologicalSpace G} [self : NonarchimedeanGroup G],
∀ U ∈ nhds 1, ∃ V, ↑V ⊆ U- Cited by
- 5 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
- Assumes
- NonarchimedeanGroup
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
- Groupstatement and proof · cited by 6,238
- nhdsstatement · cited by 5,554
- OpenSubgroupstatement · cited by 47
- NonarchimedeanGroupstatement and proof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- NonarchimedeanGroup.prod_subsetproof · cited by 1
- NonarchimedeanGroup.cauchySeq_prod_of_tendsto_cofinite_oneproof · cited by 1
- NonarchimedeanGroup.nonarchimedean_of_embproof · cited by 0
- NonarchimedeanGroup.cauchySeq_of_tendsto_div_nhds_oneproof · cited by 0
- NonarchimedeanGroup.exists_openSubgroup_separatingproof · cited by 0