Commit 2025-06-16 07:03 9ec2bb95
View on Github →feat(CategoryTheory): pseudofunctors from strict bicategories (#24382)
This PR provides an API for pseudofunctors F
from a strict bicategory B
. In particular, this shall apply to pseudofunctors from locally discrete bicategories.
We first introduce more flexible variants of mapId
and mapComp
: for example, if f
and g
are composable morphisms and fg
is such that h : fg = f ≫ f
, we provide an isomorphism F.mapComp' f g fg h : F.map fg ≅ F.map f ≫ F.map g
. We study the compatibilities of these isomorphisms with respect to composition with identities and associativity.
Secondly, given a commutative square t ≫ r = l ≫ b
in B
, we construct an isomorphism F.map t ≫ F.map r ≅ F.map l ≫ F.map b
.