diff options
Diffstat (limited to 'Bidir.agda')
| -rw-r--r-- | Bidir.agda | 18 |
1 files changed, 9 insertions, 9 deletions
@@ -231,17 +231,17 @@ module _ (G : Get) where ≡⟨ P.cong (sequenceView ∘ get) (P.sym (lemma-sequence-successful SourceShapeT v p)) ⟩ sequenceView (get v) ∎ -sequenceV-cong : {S : Setoid ℓ₀ ℓ₀} {n : ℕ} {m₁ m₂ : Setoid.Carrier (VecISetoid (MaybeSetoid S) at n)} → VecISetoid (MaybeSetoid S) at _ ∋ m₁ ≈ m₂ → MaybeSetoid (VecISetoid S at n) ∋ sequenceV m₁ ≈ sequenceV m₂ -sequenceV-cong {S} VecEq.[]-cong = Setoid.refl (MaybeSetoid (VecISetoid S at _)) -sequenceV-cong {S} {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) with sequenceV xs | sequenceV ys | sequenceV-cong xs≈ys -sequenceV-cong {S} {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | just sxs | just sys | just p = MaybeEq.just (VecEq._∷-cong_ x≈y p) -sequenceV-cong {S} {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | nothing | just sys | () -sequenceV-cong {S} {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | just sxs | nothing | () -sequenceV-cong {S} {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | nothing | nothing | nothing = Setoid.refl (MaybeSetoid (VecISetoid S at _)) -sequenceV-cong {S} (VecEq._∷-cong_ nothing xs≈ys) = Setoid.refl (MaybeSetoid (VecISetoid S at _)) +sequenceV-cong : (S : Setoid ℓ₀ ℓ₀) {n : ℕ} {m₁ m₂ : Setoid.Carrier (VecISetoid (MaybeSetoid S) at n)} → VecISetoid (MaybeSetoid S) at _ ∋ m₁ ≈ m₂ → MaybeSetoid (VecISetoid S at n) ∋ sequenceV m₁ ≈ sequenceV m₂ +sequenceV-cong S VecEq.[]-cong = Setoid.refl (MaybeSetoid (VecISetoid S at _)) +sequenceV-cong S {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) with sequenceV xs | sequenceV ys | sequenceV-cong S xs≈ys +sequenceV-cong S {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | just sxs | just sys | just p = MaybeEq.just (VecEq._∷-cong_ x≈y p) +sequenceV-cong S {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | nothing | just sys | () +sequenceV-cong S {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | just sxs | nothing | () +sequenceV-cong S {m₁ = just x ∷ xs} {m₂ = just y ∷ ys} (VecEq._∷-cong_ (just x≈y) xs≈ys) | nothing | nothing | nothing = Setoid.refl (MaybeSetoid (VecISetoid S at _)) +sequenceV-cong S (VecEq._∷-cong_ nothing xs≈ys) = Setoid.refl (MaybeSetoid (VecISetoid S at _)) sequence-cong : {S : Set} {C : Set → S → Set} → (ShapeT : Shaped S C) → (α : Setoid ℓ₀ ℓ₀) → {s : S} {x y : C (Maybe (Setoid.Carrier α)) s} → ShapedISetoid (P.setoid S) ShapeT (MaybeSetoid α) at _ ∋ x ≈ y → MaybeSetoid (ShapedISetoid (P.setoid S) ShapeT α at _) ∋ Shaped.sequence ShapeT x ≈ Shaped.sequence ShapeT y -sequence-cong ShapeT α {x = x} {y = y} (shape≈ , content≈) with sequenceV (Shaped.content ShapeT x) | sequenceV (Shaped.content ShapeT y) | sequenceV-cong content≈ +sequence-cong ShapeT α {x = x} {y = y} (shape≈ , content≈) with sequenceV (Shaped.content ShapeT x) | sequenceV (Shaped.content ShapeT y) | sequenceV-cong α content≈ sequence-cong ShapeT α {s} (shape≈ , content≈) | .(just x) | .(just y) | just {x} {y} x≈y = just (P.refl , (begin content (fill s x) ≡⟨ fill-content s x ⟩ |