fromEdgeSet_disjoint — Mathlib

English

Disjoint (fromEdgeSet s) and G is equivalent to Disjoint s and G.edgeSet (symmetrized).

Русский

Несовпадение (fromEdgeSet s) и G эквивалентно несовпадению s и G.edgeSet (симметрично).

LaTeX

$$$\\operatorname{Disjoint}(\\mathrm{fromEdgeSet}(s), G) \\iff \\operatorname{Disjoint}(s, G.\\mathrm{edgeSet})$$$

Lean4

@[simp]
theorem fromEdgeSet_disjoint : Disjoint (fromEdgeSet s) G ↔ Disjoint s G.edgeSet := by
  rw [disjoint_comm, disjoint_fromEdgeSet, disjoint_comm]

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