Remove trailing space

This commit is contained in:
Danila Fedorin 2023-07-30 22:26:05 -07:00
parent 77e2572157
commit 7e1f70210b

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@ -411,7 +411,7 @@ module _ (_≈_ : B → B → Set b) where
rewrite Map-functional {m = union f (union f m₁ m₂) m₃} k,v∈m₁₂m₃ v₁v₂v₃∈m₁₂m₃ = rewrite Map-functional {m = union f (union f m₁ m₂) m₃} k,v∈m₁₂m₃ v₁v₂v₃∈m₁₂m₃ =
(f v₁ (f v₂ v₃) , (f-assoc v₁ v₂ v₃ , I.union-combines u₁ (I.union-preserves-Unique l₂ l₃ u₃) v₁∈e₁ (I.union-combines u₂ u₃ v₂∈e₂ v₃∈e₃))) (f v₁ (f v₂ v₃) , (f-assoc v₁ v₂ v₃ , I.union-combines u₁ (I.union-preserves-Unique l₂ l₃ u₃) v₁∈e₁ (I.union-combines u₂ u₃ v₂∈e₂ v₃∈e₃)))
union-assoc₂ : subset (union f m₁ (union f m₂ m₃)) (union f (union f m₁ m₂) m₃) union-assoc₂ : subset (union f m₁ (union f m₂ m₃)) (union f (union f m₁ m₂) m₃)
union-assoc₂ k v k,v∈m₁m₂₃ union-assoc₂ k v k,v∈m₁m₂₃
with Expr-Provenance f k ((` m₁) ((` m₂) (` m₃))) (∈-cong proj₁ k,v∈m₁m₂₃) with Expr-Provenance f k ((` m₁) ((` m₂) (` m₃))) (∈-cong proj₁ k,v∈m₁m₂₃)
... | (_ , (in k∉ke₁ (in k∉ke₂ (single {v₃} v₃∈e₃)) , v₃∈m₁m₂₃)) ... | (_ , (in k∉ke₁ (in k∉ke₂ (single {v₃} v₃∈e₃)) , v₃∈m₁m₂₃))