Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
2025-12-23 14:07:45 -08:00
parent 4b0541caf5
commit aa32706120

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