diff --git a/src/foundation/universal-property-image.lagda.md b/src/foundation/universal-property-image.lagda.md index 1599b9b791..2f44a890d4 100644 --- a/src/foundation/universal-property-image.lagda.md +++ b/src/foundation/universal-property-image.lagda.md @@ -39,9 +39,10 @@ open import foundation-core.whiskering-homotopies ## Idea -The {{#concept "image" Disambiguation="maps of types" Agda=is-image}} of a map -`f : A → X` is the least [subtype](foundation-core.subtypes.md) of `X` -containing all the values of `f`. +The +{{#concept "universal property of the image" Disambiguation="maps of types" Agda=is-image}} +of a map `f : A → X` states that the [image](foundation.images.md) is the least +[subtype](foundation-core.subtypes.md) of `X` containing all the values of `f`. ## Definition @@ -250,9 +251,9 @@ abstract { A = (fiber f x)} ( fiber-emb-Prop m x) ( λ t → - ( map-hom-slice f (map-emb m) h (pr1 t)) , - ( ( inv (triangle-hom-slice f (map-emb m) h (pr1 t))) ∙ - ( pr2 t))) + ( map-hom-slice f (map-emb m) h (pr1 t)) , + ( ( inv (triangle-hom-slice f (map-emb m) h (pr1 t))) ∙ + ( pr2 t))) map-is-image-im : {l1 l2 l3 : Level} {X : UU l1} {A : UU l2} {B : UU l3} (f : A → X) →