[Merged by Bors] - feat(Order/WellFounded): the minimum of f '' s is f applied to the minimum of s

[SnirBroshi]

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[github-actions]

PR summary d2ffb33f96

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

+ min_image

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.

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No changes to strong technical debt.

No changes to weak technical debt.

[vihdzp]

I don't really like WellFounded.min, and I think we should instead be making use of sInf in most cases. But that's not specific to this PR.

[SnirBroshi]

FWIW I think that MonotoneOn.map_csInf is the equivalent statment for sInf.

Although these also seem somewhat related:

• sInfHom
• OrderIso.map_csInf'
• GaloisConnection.u_csInf'
• OrderIso.map_csInf_of_directedOn'
• Order.IsNormal.map_sSup

[b-mehta]

Thanks!

bors merge

[mathlib-bors]

Pull request successfully merged into master.

Build succeeded:

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