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

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Merged
MatthewDaggitt merged 2 commits into from
Jul 5, 2024
Merged

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

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d93a4ef
fixes #2400: use explicit quantification
jamesmckinna Jul 4, 2024
e855a13
fix knock-ons
jamesmckinna Jul 4, 2024
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8 changes: 4 additions & 4 deletions src/Function/Relation/Binary/Setoid/Equality.agda
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Original file line number Diff line number Diff line change
Expand Up @@ -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
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