Theorems · Theorem · general topology
Filter.Germ.value_smul
∀ {X : Type u_1} [inst : TopologicalSpace X] {x : X} {α : Type u_4} {β : Type u_5} [inst_1 : SMul α β]
(φ : (nhds x).Germ α) (ψ : (nhds x).Germ β), (φ • ψ).value = φ.value • ψ.value- Defined in
- Mathlib.Topology.Germ
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Quot.sound
- Assumes
- TopologicalSpaceSMul
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Cites5
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
- nhdsstatement and proof · cited by 5,554
- Filter.Germstatement and proof · cited by 102
- Filter.Germ.inductionOnproof · cited by 4
- Filter.Germ.valuestatement · cited by 3
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