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feat(CategoryTheory/Bicategory/Grothendieck): functors between Grothendieck constructions induced by strong natural transforms

Open robin-carlier opened this issue 1 year ago • 1 comments

Generalize the content of CategoryTheory/Grothendieck to pseudofunctor and show that a strong oplax natural transformation of pseudofunctors induces a functor between the Grothendieck contsructions, and that the construction preserves composition and identities.


The proof of map_comp_eq is rather slow and needs a slight increase in heartbeats to go through. It’s probably golfable.

Open in Gitpod

robin-carlier avatar Oct 20 '24 17:10 robin-carlier

PR summary 7c4a7c92fb

Import changes for modified files

Dependency changes

File Base Count Head Count Change
Mathlib.CategoryTheory.Bicategory.Grothendieck 326 328 +2 (+0.61%)
Import changes for all files
Files Import difference
Mathlib.CategoryTheory.Bicategory.Grothendieck 2

Declarations diff

+ map + mapCompForgetIso + mapCompIso + mapIdIso + map_comp_eq + map_comp_forget + map_id_eq + map_map + map_obj

You can run this locally as follows
## summary with just the declaration names:
./scripts/declarations_diff.sh <optional_commit>

## more verbose report:
./scripts/declarations_diff.sh long <optional_commit>

The doc-module for script/declarations_diff.sh contains some details about this script.

github-actions[bot] avatar Oct 20 '24 17:10 github-actions[bot]