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Make final parameter of Acc an index #3020

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Make final parameter of Acc an index #3020

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Make final parameter of Acc an index
Taneb Jun 18, 2026
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Taneb Jun 18, 2026
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3 changes: 3 additions & 0 deletions CHANGELOG.md
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Expand Up @@ -42,6 +42,9 @@ Non-backwards compatible changes
Minor improvements
------------------

* In `Induction.WellFoudned`, the final parameter of `Acc` has been changed to
an index.

Deprecated modules
------------------

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4 changes: 2 additions & 2 deletions src/Induction/WellFounded.agda
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Expand Up @@ -43,8 +43,8 @@ WfRec _<_ P x = ∀ {y} → y < x → P y
-- The accessibility predicate: x is accessible if everything which is
-- smaller than x is also accessible (inductively).

data Acc {A : Set a} (_<_ : Rel A ℓ) (x : A) : Set (a ⊔ ℓ) where
acc : (rs : WfRec _<_ (Acc _<_) x) → Acc _<_ x
data Acc {A : Set a} (_<_ : Rel A ℓ) : (x : A) → Set (a ⊔ ℓ) where
acc : ∀ {x} (rs : WfRec _<_ (Acc _<_) x) → Acc _<_ x

-- The accessibility predicate encodes what it means to be
-- well-founded; if all elements are accessible, then _<_ is
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