Split Surjectivity #499
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Split Surjectivity #499
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We should take the time to actually explain some of these equivalences at some point
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plt-amy
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plt-amy
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plt-amy
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| then the type of surjective splittings of a function $f : A \to B$ is equivalent to $A$. | ||
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| ```agda | ||
| cod-contr→surjective-splitting≃dom |
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this name is a nightmare (i don't have anything better to offer at the moment).
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Every day I stray closer to the light of Lemma 1.2.4.12
plt-amy
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Suggested-by: Amélia <[email protected]>
ncfavier
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Suggested-by: Naïm Camille Favier <[email protected]>
Suggested-by: Naïm Camille Favier <[email protected]>
ncfavier
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ncfavier
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Suggested-by: Naïm Camille Favier <[email protected]>
ncfavier
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Description
Pulling some of my changes out of #375 in hopes of getting back to it at some point. This PR defines split surjectivity, and also proves some misc. lemmas about surjective maps. I've done some minor cleanup in some of the base modules, and added some (hopefully useful!) equivalences.
Checklist
Before submitting a merge request, please check the items below:
support/sort-imports.hs(ornix run --experimental-features nix-command -f . sort-imports).If your change affects many files without adding substantial content, and
you don't want your name to appear on those pages (for example, treewide
refactorings or reformattings), start the commit message and PR title with
chore:.