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Lemmas `fiberwise_{finite,countable}_preimage` #1382

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t6s wants to merge 1 commit into math-comp:master from t6s:fiberwise_countable

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t6s commented Nov 5, 2024 •

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Motivation for this change

Add lemmas stating that the preimage of a set along a function is finite / countable if every pointwise preimage is so.

NB: there is already finite_preimage which is similar but for injective preimages.

Checklist

added corresponding entries in CHANGELOG_UNRELEASED.md

added corresponding documentation in the headers

Reference: How to document

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Read this Checklist
Put a milestone if possible
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          add fiberwise_{finite,countable}_preimage

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