disjoint_image_val_universalVerts

English

The image of a subset of universal vertices under the val map is disjoint from universal vertices.

Русский

Образ подмножества универсальных вершин через отображение значения дисjoint от универсальных вершин.

LaTeX

$$$\forall s,\ Disjoint (Subtype.val '' s) G.universalVerts$$$

Lean4

theorem disjoint_image_val_universalVerts (s : Set G.deleteUniversalVerts.verts) :
    Disjoint (Subtype.val '' s) G.universalVerts := by
  simpa [← Set.disjoint_compl_right_iff_subset, Set.compl_eq_univ_diff] using Subtype.coe_image_subset _ s

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