Add some facts about the parallel arrow category #461
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ah wait some of my code was in a stash |
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ok sorry about that should be good now. |
ncfavier
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Feb 7, 2025
| @@ -70,12 +81,49 @@ parallel arrows between them. It is the shape of [[equaliser]] and | |||
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| The parallel category is isomorphic to its opposite through the involution `not : Bool → Bool`. | |||
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| The parallel category is isomorphic to its opposite through the involution `not : Bool → Bool`. | |
| The parallel category is isomorphic to its opposite through the involution `not`{.Agda}. |
This makes a link and the type will appear on hover
| ``` | ||
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| Paralell pairs of morphisms in a category $\cC$ are equivalent to functors from the |
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| Paralell pairs of morphisms in a category $\cC$ are equivalent to functors from the | |
| Parallel pairs of morphisms in a category $\cC$ are equivalent to functors from the |
| \arrow["v", from=1-5, to=2-5] | ||
| \arrow["{f'}", from=2-1, to=2-2] | ||
| \arrow["{g'}", from=2-4, to=2-5] | ||
| \end{tikzcd}. |
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| \end{tikzcd}. | |
| \end{tikzcd} |
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so the 1lab is in the "equations implicitly end a sentence" camp? This is probably something that should be put in the contributing/style doc.
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| $A \stackrel{\overset{f}{\longrightarrow}}{\underset{g}{\longrightarrow}} B$ and | ||
| $C \stackrel{\overset{f'}{\longrightarrow}}{\underset{g'}{\longrightarrow}} D$ |
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| $A \stackrel{\overset{f}{\longrightarrow}}{\underset{g}{\longrightarrow}} B$ and | |
| $C \stackrel{\overset{f'}{\longrightarrow}}{\underset{g'}{\longrightarrow}} D$ | |
| $A\ \overset{f}{\underset{g}{\tto}}\ B$ and | |
| $C\ \overset{f'}{\underset{g'}{\tto}}\ D$ |
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