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lines changed Original file line number Diff line number Diff line change @@ -77,8 +77,8 @@ there [[merely]] exists a lifting $w$.
7777
7878We can also talk about objects with left or right lifting properties.
7979An object $P : \cC$ left lefts against a morphism $f$ if for every
80- cospan $P \xto{u} X \xfrom {f} Y$, there merely exists a map $w : \cC(P, X)$
81- with $f \circ w = u$.
80+ cospan $P \xto{u} X \xot {f} Y$, there merely exists a map $w : \cC(P,
81+ X)$ with $f \circ w = u$.
8282
8383~~~ {.quiver}
8484\begin{tikzcd}
@@ -91,8 +91,8 @@ with $f \circ w = u$.
9191\end{tikzcd}
9292~~~
9393
94- Similarly, an object $A$ right lifts against a morphism $f$ if for
95- every span $Y \xfrom {f} X \xto{u} A$, there merely exists a map $w : \cC(Y, A)$
94+ Similarly, an object $A$ right lifts against a morphism $f$ if for every
95+ span $Y \xot {f} X \xto{u} A$, there merely exists a map $w : \cC(Y, A)$
9696with $w \circ f = u$.
9797
9898\begin{tikzcd}
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