Theorems · Theorem · general topology
Filter.Germ.inductionOn
∀ {α : Type u_1} {β : Type u_2} {l : Filter α} (f : l.Germ β) {p : l.Germ β → Prop}, (∀ (f : α → β), p ↑f) → p f- Defined in
- Mathlib.Order.Filter.Germ.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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.Germstatement and proof · cited by 102
- Filter.Germ.ofFunstatement and proof · cited by 73
- Quotient.inductionOn'proof · cited by 69
Cited by4
Results whose statement or proof uses this declaration.
- Filter.Germ.abs_defproof · cited by 1
- Filter.Germ.map_mapproof · cited by 0
- Filter.Germ.value_smulproof · cited by 0
- Filter.Germ.const_compTendsto'proof · cited by 0