Clean up a bit

Signed-off-by: Danila Fedorin <danila.fedorin@gmail.com>
This commit is contained in:
Danila Fedorin 2024-03-01 19:08:29 -08:00
parent 3a537f54ba
commit 29898e738b

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@ -224,8 +224,6 @@ module IterProdIsomorphism where
) )
-- Provenance-union : ∀ {ks : List A} (fm₁ fm₂ : FiniteMap ks) (k : A) (v : B) → (k , v) ∈ᵐ (fm₁ ⊔ᵐ fm₂) → Σ (B × B) (λ (v₁ , v₂) → ((v ≡ v₁ ⊔₂ v₂) × ((k , v₁) ∈ᵐ fm₁ × (k , v₂) ∈ᵐ fm₂)))
to-⊔-distr : {ks : List A} (uks : Unique ks) (ip₁ ip₂ : IterProd (length ks)) to uks (_⊔ⁱᵖ_ {ks} ip₁ ip₂) ≈ᵐ (to uks ip₁ ⊔ᵐ to uks ip₂) to-⊔-distr : {ks : List A} (uks : Unique ks) (ip₁ ip₂ : IterProd (length ks)) to uks (_⊔ⁱᵖ_ {ks} ip₁ ip₂) ≈ᵐ (to uks ip₁ ⊔ᵐ to uks ip₂)
to-⊔-distr {[]} empty tt tt = ((λ k v ()), (λ k v ())) to-⊔-distr {[]} empty tt tt = ((λ k v ()), (λ k v ()))
to-⊔-distr {ks@(k ks')} uks@(push k≢ks' uks') ip₁@(v₁ , rest₁) ip₂@(v₂ , rest₂) = (fm⊆fm₁fm₂ , fm₁fm₂⊆fm) to-⊔-distr {ks@(k ks')} uks@(push k≢ks' uks') ip₁@(v₁ , rest₁) ip₂@(v₂ , rest₂) = (fm⊆fm₁fm₂ , fm₁fm₂⊆fm)