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Diffstat (limited to 'GetTypes.agda')
-rw-r--r-- | GetTypes.agda | 35 |
1 files changed, 35 insertions, 0 deletions
diff --git a/GetTypes.agda b/GetTypes.agda index eb72cea..0db3f31 100644 --- a/GetTypes.agda +++ b/GetTypes.agda @@ -12,6 +12,8 @@ open import Relation.Binary using (Setoid) open Injection using (to) open import Generic using (≡-to-Π) +open import Structures using (Shaped ; module Shaped) +open import Instances using (VecShaped) module ListList where record Get : Set₁ where @@ -49,3 +51,36 @@ VecVec-to-PartialVecVec G = record ; get = get ; free-theorem = free-theorem } where open VecVec.Get G + +module PartialShapeVec where + record Get : Set₁ where + field + Shape : Set + Container : Set → Shape → Set + ShapeT : Shaped Shape Container + + I : Setoid ℓ₀ ℓ₀ + gl₁ : I ↪ EqSetoid Shape + gl₂ : I ⟶ EqSetoid ℕ + + |I| = Setoid.Carrier I + |gl₁| = _⟨$⟩_ (to gl₁) + |gl₂| = _⟨$⟩_ gl₂ + + open Shaped ShapeT using (fmap) + + field + get : {A : Set} {i : |I|} → Container A (|gl₁| i) → Vec A (|gl₂| i) + free-theorem : {α β : Set} → (f : α → β) → {i : |I|} → get {_} {i} ∘ fmap f ≗ mapV f ∘ get + + open Shaped ShapeT public + +PartialVecVec-to-PartialShapeVec : PartialVecVec.Get → PartialShapeVec.Get +PartialVecVec-to-PartialShapeVec G = record + { ShapeT = VecShaped + ; I = I + ; gl₁ = gl₁ + ; gl₂ = gl₂ + ; get = get + ; free-theorem = free-theorem + } where open PartialVecVec.Get G |