@@ -252,10 +252,10 @@ record Graph : Set where
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... | yes refl | yes refl = f (adj n₁ n₂)
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... | _ | _ = adj n₁' n₂'
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Adjecency-append : ∀ {n₁ n₂ : Node} → List (Path n₁ n₂) → Adjacency → Adjacency
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Adjecency-append {n₁} {n₂} ps = Adjacency-update n₁ n₂ (ps ++ˡ_)
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Adjacency-append : ∀ {n₁ n₂ : Node} → List (Path n₁ n₂) → Adjacency → Adjacency
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Adjacency-append {n₁} {n₂} ps = Adjacency-update n₁ n₂ (ps ++ˡ_)
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Adjacency-append-monotonic : ∀ {adj n₁ n₂ n₁' n₂'} {ps : List (Path n₁ n₂)} {p : Path n₁' n₂'} → p ∈ˡ adj n₁' n₂' → p ∈ˡ Adjecency-append ps adj n₁' n₂'
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Adjacency-append-monotonic : ∀ {adj n₁ n₂ n₁' n₂'} {ps : List (Path n₁ n₂)} {p : Path n₁' n₂'} → p ∈ˡ adj n₁' n₂' → p ∈ˡ Adjacency-append ps adj n₁' n₂'
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Adjacency-append-monotonic {adj} {n₁} {n₂} {n₁'} {n₂'} {ps} p∈adj
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with n₁ ≟ n₁' | n₂ ≟ n₂'
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... | yes refl | yes refl = ∈ˡ-++⁺ʳ ps p∈adj
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