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lines changed Original file line number Diff line number Diff line change @@ -31,8 +31,8 @@ module _ (†C : †Category ℓ ℓ') where
3131 .Hom≡ → funExt λ x → funExt λ y → TypeIso.isoToPath λ where
3232 .TypeIso.fun → _†
3333 .TypeIso.inv → _†
34- .TypeIso.leftInv → †-invol
35- .TypeIso.rightInv → †-invol
34+ .TypeIso.sec → †-invol
35+ .TypeIso.ret → †-invol
3636 .id≡ → implicitFunExt (toPathP (transportRefl (id †) ∙ †-id))
3737 .⋆≡ → implicitFunExt $ implicitFunExt $ implicitFunExt $ toPathP $ funExt λ f → funExt λ g →
3838 transport refl ((transport refl f † ⋆ transport refl g †) †) ≡⟨ transportRefl _ ⟩
@@ -230,8 +230,8 @@ module †Morphisms (†C : †Category ℓ ℓ') where
230230 iso : TypeIso (x ≡ y) (†CatIso x y)
231231 iso .TypeIso.fun = pathTo†Iso
232232 iso .TypeIso.inv = †IsoToPath
233- iso .TypeIso.rightInv f = Σ≡Prop (λ _ → isPropAreInv _) (†IsoToPath-β f)
234- iso .TypeIso.leftInv = J (λ y p → †IsoToPath (pathTo†Iso p) ≡ p) (
233+ iso .TypeIso.sec f = Σ≡Prop (λ _ → isPropAreInv _) (†IsoToPath-β f)
234+ iso .TypeIso.ret = J (λ y p → †IsoToPath (pathTo†Iso p) ≡ p) (
235235 †IsoToPath (pathTo†Iso refl) ≡⟨ cong †IsoToPath pathTo†Iso-refl ⟩
236236 †IsoToPath id†Iso ≡⟨ †IsoToPath-id ⟩
237237 refl ∎
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