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Mathlib/Combinatorics/SimpleGraph/Maps.lean
@@ -633,6 +633,8 @@ def overFin (hc : Fintype.card V = n) : SimpleGraph (Fin n) where
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noncomputable def overFinIso (hc : Fintype.card V = n) : G ≃g G.overFin hc := by
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use Fintype.equivFinOfCardEq hc; simp [overFin]
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+/-- The isomorphism between `completeBipartiteGraph α β` and
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+`completeBipartiteGraph (Fin s) (Fin t)` where `card α = s` and `card β = t`. -/
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noncomputable def completeBipartiteGraph.overFinIso {α β : Type*} [Fintype α] [Fintype β]
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{s t : ℕ} (hc₁ : Fintype.card α = s) (hc₂ : Fintype.card β = t) :
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completeBipartiteGraph α β ≃g completeBipartiteGraph (Fin s) (Fin t) where
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