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Cubical/Data/Rationals/MoreRationals/QuoQ/Extras.agda

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@@ -6,7 +6,7 @@ open import Cubical.Data.Int.MoreInts.QuoInt renaming (_·_ to _ℤ·_)
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open import Cubical.Data.Int as Int renaming (ℤ to Int)
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open import Cubical.Foundations.Prelude
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open import Cubical.HITs.SetQuotients
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open import Cubical.HITs.SetQuotients
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open import Cubical.Relation.Binary.Base
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open BinaryRelation
@@ -22,7 +22,7 @@ iso/rHlp (z , n) = ∼≡-lemma (Int→ℤ (ℤ→Int z)) z n (ℤ→Int→ℤ z
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Int≡Int→ℤ·≡ℤ· : x y x Int.· (Rationals.ℕ₊₁→ℤ y) ≡ ℤ→Int ((Int→ℤ x) ℤ· (Quo.ℕ₊₁→ℤ y))
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Int≡Int→ℤ·≡ℤ· x y = (cong₂ (λ u v u Int.· v) (sym (Int→ℤ→Int x)) refl) ∙
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sym (ℤ→IntIsHom· (Int→ℤ x) (Quo.ℕ₊₁→ℤ y))
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∼'→R* : u v (u Rationals∼ v) R* {ER = Quo.isEquivRel∼}
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{iso/r = iso/R (λ x ℤ→Int (fst x) , (snd x))
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(λ x (Int→ℤ (fst x)) , (snd x)) λ u iso/rHlp u} u v

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