coeFiniteAt — Mathlib

English

There is a finite-type structure for the coe-neighbor-set as well, derived from finiteness.

Русский

Свойство конечности переносится на соседей через отображение-коэр.

LaTeX

$$$\text{instance } (G' : \text{Subgraph}(G))\ (v : G'.verts)\ [Fintype (G'.neighborSet v)]\ : Fintype (G'.coe.neighborSet v).$$$

Lean4

instance coeFiniteAt {G' : Subgraph G} (v : G'.verts) [Fintype (G'.neighborSet v)] : Fintype (G'.coe.neighborSet v) :=
  Fintype.ofEquiv _ (coeNeighborSetEquiv v).symm

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