Theorems · Definition · general topology
Filter.Germ
{α : Type u_1} → Filter α → Type u_5 → Type (max u_1 u_5)The space of germs of functions α → β at a filter l.
- Defined in
- Mathlib.Order.Filter.Germ.Basic
- Cited by
- 102 results in Mathlib
- Foundations
- Depth 16 from the axioms, rests on 34 definitions · uses no axioms
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.
- Filterstatement and proof · cited by 8,121
- Filter.germSetoidproof · cited by 3
Cited by130
Results whose statement or proof uses this declaration.
- Hyperrealproof · cited by 172
- Filter.Germ.ofFunstatement · cited by 73
- Filter.Germ.conststatement · cited by 31
- MeasureTheory.AEEqFun.toGermstatement · cited by 22
- Filter.Germ.Tendstostatement and proof · cited by 18
- Filter.Germ.mapstatement · cited by 10
- Filter.Germ.coe_eqstatement · cited by 10
- Filter.Germ.IsConstantstatement and proof · cited by 9
- Filter.Germ.map₂statement · cited by 8
- Filter.Germ.compTendstostatement and proof · cited by 6
- MeasureTheory.AEEqFun.comp_toGermstatement · cited by 5
- Filter.Germ.LiftRelstatement and proof · cited by 5