feat(Algebra/Homology): pseudofunctorial behaviour of Functor.mapDerivedCategory

[joelriou]

In this PR, we shall show the compatibilities required for #43086.

---

• depends on: chore(Algebra/Homology): unexpose HomologicalComplexUpToQuasiIso.Qh #43103

[github-actions]

PR summary 0658bfe564

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

---

Declarations diff (regex)

+ comp_mapExactFunctor
+ id_mapExactFunctor
+ instance (R : Type*) [Ring R] [CategoryTheory.Linear R C₁] [CategoryTheory.Linear R C₂]
+ instance :
+ instance : NatTrans.CommShift (mapDerivedCategoryCompIso F G).hom ℤ := sorry
+ instance : NatTrans.CommShift (mapDerivedCategoryIdIso C₁).hom ℤ := sorry
+ mapDerivedCategoryCompIso
+ mapDerivedCategoryCompIso_hom_app_Q_obj
+ mapDerivedCategoryCompIso_hom_app_comp_mapDerivedCategorySingleFunctor_hom_app
+ mapDerivedCategoryIdIso
+ mapDerivedCategoryIdIso_hom_app_singleFunctor_obj
+ mapDerivedCategoryIdIso_inv_app_singleFunctor_obj
+ mapDerivedCategorySingleFunctor_inv_app_comp_mapDerivedCategoryCompIso_inv_app
+ mapExactFunctor_comp_mk₀_natTransApp
+ singleFunctorIsoCompQh
- Qh_obj_singleFunctors_obj
- instance [F.Linear R] : F.mapDerivedCategory.Linear R := by
- singleFunctorsPostcompQIso_hom_hom
- singleFunctorsPostcompQIso_inv_hom

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.

Declarations diff (Lean -- pending)

Computed after the build finishes.

---

Decrease in strong tech debt: (relative, absolute) = (0.17, 0.00)

Current number	Change	Type (strong)
backward.defeqAttrib.useBackward	4299	-8
backward.isDefEq.respectTransparency	4864	-2
backward.isDefEq.respectTransparency.types	2522	-5
erw	500	3
adaptation notes	377	-1

No changes to weak technical debt.

Current commit 0658bfe564
Reference commit 661ab0bdd3

This script lives in the mathlib-ci repository. To run it locally, from your mathlib4 directory:

git clone https://github.com/leanprover-community/mathlib-ci.git ../mathlib-ci
../mathlib-ci/scripts/reporting/technical-debt-metrics.py pr_summary

• The relative value is the weighted sum of the differences with weight given by the inverse of the current value of the statistic.
• The absolute value is the relative value divided by the total sum of the inverses of the current values (i.e. the weighted average of the differences).

[mathlib-dependent-issues]

This PR/issue depends on:

• chore(Algebra/Homology): unexpose HomologicalComplexUpToQuasiIso.Qh #43103
  By Dependent Issues (🤖). Happy coding!