feat(CategoryTheory): the bicategory of profunctors

[dagurtomas]

---

• depends on: feat(CategoryTheory): composition of profunctors #38086

[github-actions]

PR summary 898e96492a

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference
Mathlib.CategoryTheory.Profunctor.Comp (new file)	470
Mathlib.CategoryTheory.Profunctor.Bicategory (new file)	471

---

Declarations diff

+ ProfCat
+ associator
+ associatorComponents
+ associatorComponents_aux₁
+ associatorComponents_aux₂
+ comp
+ compDiagram
+ compDiagramMap
+ compDiagramMap_comp
+ compDiagramMap_id
+ comp_whiskerLeft
+ comp_whiskerRight
+ id_whiskerLeft
+ id_whiskerRight
+ idempotent
+ instance : Bicategory ProfCat.{u, u}
+ instance : CoeSort ProfCat (Type u)
+ leftUnitor
+ map
+ pentagon
+ rightUnitor
+ triangle
+ univComp
+ whiskerLeft
+ whiskerLeft_comp
+ whiskerLeft_id
+ whiskerRight
+ whiskerRight_comp
+ whiskerRight_id
+ whisker_assoc
+ whisker_exchange

You can run this locally as follows

## from your `mathlib4` directory:
git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci

## summary with just the declaration names:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh <optional_commit>

## more verbose report:
../mathlib-ci/scripts/pr_summary/declarations_diff.sh long <optional_commit>

The doc-module for scripts/pr_summary/declarations_diff.sh in the mathlib-ci repository contains some details about this script.

---

No changes to strong technical debt.

No changes to weak technical debt.

[mathlib-dependent-issues]

This PR/issue depends on:

• feat(CategoryTheory): composition of profunctors #38086
  By Dependent Issues (🤖). Happy coding!

[mathlib-merge-conflicts]

This pull request has conflicts, please merge master and resolve them.