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[Refactor] Change ⊥-elim to contradiction in src/Codata/Guarded/Stream/Relation/Unary/Any #2652

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Merged
merged 1 commit into from
Mar 11, 2025
Merged

[Refactor] Change ⊥-elim to contradiction in src/Codata/Guarded/Stream/Relation/Unary/Any #2652

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7 changes: 3 additions & 4 deletions src/Codata/Guarded/Stream/Relation/Unary/Any.agda
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Original file line number Diff line number Diff line change
Expand Up @@ -9,10 +9,9 @@
module Codata.Guarded.Stream.Relation.Unary.Any where

open import Codata.Guarded.Stream as Stream using (Stream)
open import Data.Empty using (⊥-elim)
open import Data.Nat.Base hiding (_⊔_)
open import Level hiding (zero; suc)
open import Relation.Nullary.Negation.Core using (¬_)
open import Relation.Nullary.Negation.Core using (¬_; contradiction)
open import Relation.Unary using (Pred; _⊆_)

private
Expand All @@ -28,10 +27,10 @@ data Any {A : Set a} (P : Pred A p) : Stream A → Set (a ⊔ p) where

head : ¬ Any P (Stream.tail xs) → Any P xs → P (Stream.head xs)
head ¬t (here h) = h
head ¬t (there t) = ⊥-elim (¬t t)
head ¬t (there t) = contradiction t ¬t

tail : ¬ P (Stream.head xs) → Any P xs → Any P (Stream.tail xs)
tail ¬h (here h) = ⊥-elim (¬h h)
tail ¬h (here h) = contradiction h ¬h
tail ¬h (there t) = t

map : P ⊆ Q → Any P ⊆ Any Q
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