Theorems · Theorem · functional analysis
tendsto_norm_cocompact_atTop
∀ {E : Type u_2} [inst : SeminormedAddGroup E] [ProperSpace E], Filter.Tendsto norm (Filter.cocompact E) Filter.atTop- Defined in
- Mathlib.Analysis.Normed.Group.Bounded
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- Norm.normstatement · cited by 5,413
- Filter.Tendstostatement · cited by 3,814
- Filter.atTopstatement · cited by 2,405
- SeminormedAddGroupstatement and proof · cited by 331
- ProperSpacestatement and proof · cited by 190
- Filter.cocompactstatement · cited by 141
- tendsto_norm_cobounded_atTopproof · cited by 11
- Metric.cobounded_eq_cocompactproof · cited by 8
Cited by6
Results whose statement or proof uses this declaration.
- SchwartzMap.isBigO_cocompact_rpowproof · cited by 3
- tendsto_norm_comp_cofinite_atTop_of_isClosedEmbeddingproof · cited by 3
- ModularGroup.tendsto_abs_re_smulproof · cited by 1
- Complex.tendsto_normSq_cocompact_atTopproof · cited by 1
- SchwartzMap.tendsto_cocompactproof · cited by 0
- Polynomial.exists_forall_norm_leproof · cited by 0