feat(Tactic/CategoryTheory): whiskering lemmas for rotate_isos

[robin-carlier]

This PR extends the base set of terms recognized by the rotate_isos tactic to include terms of the form whiskerLeft F f, isoWhiskerLeft F e, and NatTrans.hcomp/ NatIso.hcomp.

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• depends on: feat(Tactic/CategoryTheory): the rotate_isos tactic #25747

Technically, it could depend solely on #24506, but there’s not much point getting this merged if the base tactic is not there.

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This PR continues the work from #24650.

Original PR: #24650

[github-actions]

PR summary 8b2141b23d

Import changes for modified files

Dependency changes

File	Base Count	Head Count	Change
Mathlib.Tactic	2734	2738	+4 (+0.15%)

Import changes for all files

Files	Import difference
Mathlib.Tactic.CategoryTheory.RotateIsos.Core (new file)	1
Mathlib.Tactic	4
Mathlib.Tactic.CategoryTheory.RotateIsos.Cancelable (new file)	279
Mathlib.Tactic.CategoryTheory.RotateIsos.Lemmas (new file)	285

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Declarations diff

+ CancelM
+ Cancelable
+ Functor.eq_comp_inv
+ Functor.eq_inv_comp
+ Functor.id_eq_comp_inv
+ Functor.id_eq_inv_comp
+ IsIso.eq_comp_inv
+ IsIso.eq_inv_comp
+ IsIso.id_eq_comp_inv
+ IsIso.id_eq_inv_comp
+ Iso.eq_comp_hom
+ Iso.eq_comp_inv
+ Iso.eq_hom_comp
+ Iso.eq_inv_comp
+ Iso.eq_symm_trans
+ Iso.eq_trans_symm
+ Iso.id_eq_comp_hom
+ Iso.id_eq_comp_inv
+ Iso.id_eq_hom_comp
+ Iso.id_eq_inv_comp
+ Iso.refl_eq_symm_trans
+ Iso.refl_eq_trans_symm
+ NatIso.hcomp.eq_symm_trans
+ NatIso.hcomp.eq_trans_symm
+ NatIso.hcomp.refl_eq_symm_trans
+ NatIso.hcomp.refl_eq_trans_symm
+ NatTrans.eq_comp_inv
+ NatTrans.eq_inv_comp
+ NatTrans.hcomp.eq_symm_trans
+ NatTrans.hcomp.eq_trans_symm
+ NatTrans.hcomp.refl_eq_symm_trans
+ NatTrans.hcomp.refl_eq_trans_symm
+ NatTrans.id_eq_comp_inv
+ NatTrans.id_eq_inv_comp
+ comp_assoc_rev
+ getCancelable?
+ insertCancelableFactory
+ insertCancelableFactory'
+ isoWhiskerLeft.eq_isoWhiskerLeft_symm_trans
+ isoWhiskerLeft.eq_trans_isoWhiskerLeft_symm
+ isoWhiskerLeft.refl_eq_isoWhiskerLeft_symm_trans
+ isoWhiskerLeft.refl_eq_trans_isoWhiskerLeft_symm
+ isoWhiskerRight.eq_isoWhiskerRight_symm_trans
+ isoWhiskerRight.eq_trans_isoWhiskerRight_symm
+ isoWhiskerRight.refl_eq_isoWhiskerRight_symm_trans
+ isoWhiskerRight.refl_eq_trans_isoWhiskerRight_symm
+ rotateIsosAtGoal
+ rotateIsosAtHyp
+ rotateIsosCore
+ rotateIsosCoreAux
+ rotateIsosCoreIff
+ rotateIsosForallTelescope
+ rotateIsosForallTelescopeIff
+ trans_assoc_rev
+ tryCancelFunctorMap
+ tryCancelIsIso
+ tryCancelIso
+ tryCancelIsoHom
+ tryCancelIsoInv
+ tryCancelIsoWhiskerLeft
+ tryCancelIsoWhiskerRight
+ tryCancelNatIsoHcomp
+ tryCancelNatTransApp
+ tryCancelNatTransHcomp
+ tryCancelWhiskerLeft
+ tryCancelWhiskerRight
+ whiskerLeft.eq_comp_whiskerLeft_inv
+ whiskerLeft.eq_whiskerLeft_inv_comp
+ whiskerLeft.id_eq_comp_whiskerLeft_inv
+ whiskerLeft.id_eq_whiskerLeft_inv_comp
+ whiskerRight.eq_comp_whiskerRight_inv
+ whiskerRight.eq_whiskerRight_inv_comp
+ whiskerRight.id_eq_comp_whiskerRight_inv
+ whiskerRight.id_eq_whiskerRight_inv_comp

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.

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No changes to technical debt.

You can run this locally as

./scripts/technical-debt-metrics.sh 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).

[mathlib4-dependent-issues-bot]

This PR/issue depends on:

• feat(Tactic/CategoryTheory): the rotate_isos tactic #25747
  By Dependent Issues (🤖). Happy coding!

[mathlib4-merge-conflict-bot]

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