refactor(MeasureTheory/MeasurableSpace/Card): avoid `Ordinal.toType`

[vihdzp]

We redefine generateMeasurableRec so that it's indexed by an ordinal, rather than being indexed by ω₁.toType. We also employ ω₁ and its new API throughout the file.

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• [ ] depends on: #17674

[github-actions[bot]]

PR summary c3e9a06fbf

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

+ IsRegular.cof_omega_eq + cardinal_measurableSet_le + generateMeasurableRec_induction + generateMeasurableRec_mono + generateMeasurableRec_of_omega1_le + generateMeasurableRec_omega1 - instance (o : Ordinal) : NoMaxOrder (ℵ_ o).ord.toType

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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Decrease in tech debt: (relative, absolute) = (1.00, 0.00)

Current number	Change	Type
5095	-1	porting notes

Current commit c3e9a06fbf Reference commit 25f427c356

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:

• ~~leanprover-community/mathlib4#17674~~
• ~~leanprover-community/mathlib4#18541~~
• ~~leanprover-community/mathlib4#18542~~ By Dependent Issues (🤖). Happy coding!

[github-actions[bot]]

🚀 Pull request has been placed on the maintainer queue by YaelDillies.

[kim-em]

bors merge

[mathlib-bors[bot]]

Pull request successfully merged into master.

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