Theorems · Definition · general topology
Filter.zeroAtFilterAddSubmonoid
{α : Type u_2} →
{β : Type u_3} →
[inst : TopologicalSpace β] → [inst_1 : AddZeroClass β] → [ContinuousAdd β] → Filter α → AddSubmonoid (α → β)zeroAtFilterAddSubmonoid l is the additive submonoid of f : α → β
which tend to zero along l.
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 73 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Set.ofPredproof · cited by 6,101
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- ContinuousAddstatement and proof · cited by 777
- Filter.ZeroAtFilterproof · cited by 11
- Filter.ZeroAtFilter.addproof · cited by 1
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