Bugfixes
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@ -8,7 +8,7 @@ Create a multiplication table for $\mathbb{Z}_4$:
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\begin{center}
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\begin{tabular}{c | c c c c}
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\times & 0 & 1 & 2 & 3 \\
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$\times$ & 0 & 1 & 2 & 3 \\
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\hline
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0 & ? & ? & ? & ? \\
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1 & ? & ? & ? & ? \\
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@ -220,10 +220,10 @@
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Show that for any two functions $g: Y \to W$ and $h: Y \to W$, if
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$g \circ f = h \circ f \implies g = h$.
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\item[\star] Let $f: X \to Y$ be a function where for any set $Z$ and functions $g: Z \to X$ and $h: Z \to X$,
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\item[$\star$] Let $f: X \to Y$ be a function where for any set $Z$ and functions $g: Z \to X$ and $h: Z \to X$,
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$f \circ g = f \circ h \implies g = h$. Show that $f$ is injective.
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\item[\star] Let $f: X \to Y$ be a function where for any set $W$ and functions $g: Y \to W$ and $h: Y \to W$,
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\item[$\star$] Let $f: X \to Y$ be a function where for any set $W$ and functions $g: Y \to W$ and $h: Y \to W$,
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$g \circ f = h \circ f \implies g = h$. Show f is surjective.
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\end{itemize}
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