Commit 2024-07-16 09:32 20707571
View on Github →feat(CategoryTheory): Cat-valued functors induced by passing to Over/Under categories (#14656)
This PR redefines but does not rename the natural isomorphisms mapId
and mapComp
for the composition functors associated to over or under categories. Originally these were defined using isoRefl
. Now instead these are defined using eqToIso
applied to equalities between the appropriate functors, which are also added here. These equalities are also used to define functors T ⥤ Cat
and Tᵒᵖ ⥤ Cat
sending an object X
to Over X
and Under X
respectively.