[Merged by Bors] - chore(Order/Interval/Set/Image): use to_dual

[SnirBroshi]

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[github-actions]

PR summary 41370942c1

Import changes for modified files

No significant changes to the import graph

Import changes for all files

Files	Import difference

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Declarations diff (regex)

- Antitone.image_Iic_subset
- Antitone.mapsTo_Iic
- AntitoneOn.image_Iic_subset
- AntitoneOn.mapsTo_Iic
- Monotone.image_Iic_subset
- Monotone.mapsTo_Iic
- MonotoneOn.image_Iic_subset
- MonotoneOn.mapsTo_Iic
- StrictAnti.image_Iio_subset
- StrictAnti.image_Ioc_subset
- StrictAnti.mapsTo_Iio
- StrictAnti.mapsTo_Ioc
- StrictAntiOn.image_Iio_subset
- StrictAntiOn.image_Ioc_subset
- StrictAntiOn.mapsTo_Iio
- StrictAntiOn.mapsTo_Ioc
- StrictMono.image_Iio_subset
- StrictMono.image_Ioc_subset
- StrictMono.mapsTo_Iio
- StrictMono.mapsTo_Ioc
- StrictMonoOn.image_Iio_subset
- StrictMonoOn.image_Ioc_subset
- StrictMonoOn.mapsTo_Iio
- StrictMonoOn.mapsTo_Ioc
- directedOn_ge_Icc
- directedOn_ge_Ici
- directedOn_ge_Ico
- image_subtype_val_Ici_subset
- image_subtype_val_Iic_Ici
- image_subtype_val_Iic_Iic
- image_subtype_val_Iic_Iio
- image_subtype_val_Iic_Ioi
- image_subtype_val_Iio_Ici
- image_subtype_val_Iio_Iic
- image_subtype_val_Iio_Iio
- image_subtype_val_Iio_Ioi
- image_subtype_val_Ioc_subset
- image_subtype_val_Ioi_subset
- preimage_subtype_val_Iic
- preimage_subtype_val_Iio
- preimage_subtype_val_Ioc

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)

✅ Lean-aware diff — post-build, computed from the Lean environment (commit 4137094).

• +0 new declarations
• −0 removed declarations

No declaration differences.

---

No changes to strong technical debt.
No changes to weak technical debt.

Current commit 41370942c1
Reference commit 9b46e33ce0

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-auto-merge]

As this PR is labelled auto-merge-after-CI, we are now sending it to bors:

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

• ci (staging) / Build
• ci (staging) / Test and lint
• ci (staging) / Lint style
• ci (staging) / Post-Build Step
• ci (staging) / Post-CI job