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Deduce 0-groupoid universal properties from GraphQuotient #2136

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gio256 opened this issue Nov 8, 2024 · 0 comments
Open

Deduce 0-groupoid universal properties from GraphQuotient #2136

gio256 opened this issue Nov 8, 2024 · 0 comments

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@gio256
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gio256 commented Nov 8, 2024

In #1900 and #2106, we consider the (funext-free) 0-groupoid universal property of the coequalizer. We should prove a similar universal property for GraphQuotient and investigate whether we can use this to deduce 0-groupoid universal properties for other colimits as well as the related results in Colimits/CoeqUnivProp.v.

See also #1259 and Homotopy/Suspension, which provided the template for the work on coequalizers.

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