[v2.1-rc1] fixes #2400: use explicit quantification instead (#2429)

* fixes #2400: use explicit quantification

* fix knock-ons

Author: jamesmckinna

src/Function/Endo/Setoid.agda

@@ -58,7 +58,7 @@ private
 ∘-isMagma : IsMagma _≈_ _∘_
 ∘-isMagma = record
   { isEquivalence = isEquivalence
-  ; ∙-cong        = λ {_} {_} {_} {v} x≈y u≈v → S.trans u≈v (cong v x≈y)
+  ; ∙-cong        = λ {_} {_} {_} {k} f≈g h≈k x → S.trans (h≈k _) (cong k (f≈g x))
   }
 
 ∘-magma : Magma (c ⊔ e) (c ⊔ e)
@@ -67,7 +67,7 @@ private
 ∘-isSemigroup : IsSemigroup _≈_ _∘_
 ∘-isSemigroup = record
   { isMagma = ∘-isMagma
-  ; assoc   = λ _ _ _ → S.refl
+  ; assoc   = λ _ _ _ _ → S.refl
   }
 
 ∘-semigroup : Semigroup (c ⊔ e) (c ⊔ e)
@@ -76,7 +76,7 @@ private
 ∘-id-isMonoid : IsMonoid _≈_ _∘_ id
 ∘-id-isMonoid = record
   { isSemigroup = ∘-isSemigroup
-  ; identity    = (λ _ → S.refl) , (λ _ → S.refl)
+  ; identity    = (λ _ _ → S.refl) , (λ _ _ → S.refl)
   }
 
 ∘-id-monoid : Monoid (c ⊔ e) (c ⊔ e)
@@ -112,6 +112,6 @@ module _ (f : Endo) where
   ^-isMonoidHomomorphism : IsMonoidHomomorphism +-0-rawMonoid ∘-id-rawMonoid (f ^_)
   ^-isMonoidHomomorphism = record
     { isMagmaHomomorphism = ^-isMagmaHomomorphism
-    ; ε-homo = S.refl
+    ; ε-homo = λ _ → S.refl
     }
 

src/Function/Relation/Binary/Setoid/Equality.agda

@@ -24,16 +24,16 @@ private
 
 infix 4 _≈_
 _≈_ : (f g : Func From To) → Set (a₁ ⊔ b₂)
-f ≈ g = {x : From.Carrier} → f ⟨$⟩ x To.≈ g ⟨$⟩ x
+f ≈ g = ∀ x → f ⟨$⟩ x To.≈ g ⟨$⟩ x
 
 refl : Reflexive _≈_
-refl = To.refl
+refl _ = To.refl
 
 sym : Symmetric _≈_
-sym = λ f≈g → To.sym f≈g
+sym f≈g x = To.sym (f≈g x)
 
 trans : Transitive _≈_
-trans = λ f≈g g≈h → To.trans f≈g g≈h
+trans f≈g g≈h x = To.trans (f≈g x) (g≈h x)
 
 isEquivalence : IsEquivalence _≈_
 isEquivalence = record  -- need to η-expand else Agda gets confused