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@fredrik-bakke fredrik-bakke commented Oct 14, 2025

Introduces another inequality relation on cardinalities that is antisymmetric assuming WLPO, and coincides with the usual inequality assuming LEM. Also does some cleanup for the cardinality formalizations.

The main results of this PR are currently blocked on #1206 which is in turn still blocked on #1264. However, it can still be merged, as those results are not type checked in the present version.

Clarified the conclusion about `leq-Cardinal` being antisymmetric and a partial order, referencing the Cantor–Schröder–Bernstein theorem and the law of excluded middle.
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fredrik-bakke commented Oct 29, 2025

Since #1206 is now merged I can formalize *typecheck the main result of this PR, hence I'll mark it as a draft until that is done.

@fredrik-bakke fredrik-bakke marked this pull request as draft October 29, 2025 13:12
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Okay done :)

@fredrik-bakke fredrik-bakke marked this pull request as ready for review October 29, 2025 13:34
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