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Commit c824302e authored by Muhammed Guelen's avatar Muhammed Guelen
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Muhammed

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...@@ -16,24 +16,24 @@ ...@@ -16,24 +16,24 @@
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...@@ -242,8 +242,6 @@ where we have used the fact that identity arrow exists for each object A and B.\ ...@@ -242,8 +242,6 @@ where we have used the fact that identity arrow exists for each object A and B.\
\subsection{} Check that functors compose in an associative way, proving that $\mathbf{Cat}$ is a category. \hfill \break \subsection{} Check that functors compose in an associative way, proving that $\mathbf{Cat}$ is a category. \hfill \break
<<<<<<< HEAD
=======
\iam{Muhammed} Let $\mathbf{C_1}, \mathbf{C_2}, \mathbf{C_3}, \mathbf{C_4}$ be categories and $F: \mathbf{C_1} \to \mathbf{C_2}, \, G: \mathbf{C_2} \to \mathbf{C_3}, \, H: \mathbf{C_3} \to \mathbf{C_4}$ functors. We consider \iam{Muhammed} Let $\mathbf{C_1}, \mathbf{C_2}, \mathbf{C_3}, \mathbf{C_4}$ be categories and $F: \mathbf{C_1} \to \mathbf{C_2}, \, G: \mathbf{C_2} \to \mathbf{C_3}, \, H: \mathbf{C_3} \to \mathbf{C_4}$ functors. We consider
$$K:= G \circ F: \mathbf{C_1} \to \mathbf{C_3},$$ $$K:= G \circ F: \mathbf{C_1} \to \mathbf{C_3},$$
where for any object $A$ and any arrow $f$ in $\mathbf{C_1}$, $$ where for any object $A$ and any arrow $f$ in $\mathbf{C_1}$, $$
...@@ -268,11 +266,6 @@ $$(H \circ (G \circ F))(f) = H((G \circ F)(f)) = H(G(F(f))) = (H \circ G)(F(f)) ...@@ -268,11 +266,6 @@ $$(H \circ (G \circ F))(f) = H((G \circ F)(f)) = H(G(F(f))) = (H \circ G)(F(f))
for every any object $A$ and any arrow $f$ in $\mathbf{C_1}$. This yields the desired equality stated in (2.3.2). for every any object $A$ and any arrow $f$ in $\mathbf{C_1}$. This yields the desired equality stated in (2.3.2).
>>>>>>> ee2c8e437d66a66aa46fdcd6f59bda9fddb9c8fc
\subsection{} Prove that inverses are unique. \hfill \break \subsection{} Prove that inverses are unique. \hfill \break
\iam{Rızacan} Let $f$ be an arrow with Cod($f$)=$B$ and Dom($f$)=$A$. Suppose \iam{Rızacan} Let $f$ be an arrow with Cod($f$)=$B$ and Dom($f$)=$A$. Suppose
......
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