HoTT-categories
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A category theory library built on top of Homotopy Type Theory, by Jason Gross
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/DataMigrationFunctors.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/SetCategoryFacts.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/SetColimits.v?at=default But use quotients from HoTT (via higher inductive types) rather than axioms.
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/LtacReifiedSimplification.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/Yoneda.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/GrothendieckFunctorial.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/SubobjectClassifier.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/Graph.v?at=default https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/GraphTranslation.v?at=default https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/ComputableGraphCategory.v?at=default https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/Graphs.v?at=default
https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/LimitFunctorTheorems.v?at=default https://bitbucket.org/JasonGross/catdb/src/4eb6407c6ca3200bebefaa3a1834d05c49b01846/InducedLimitFunctors.v?at=default