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feat(CategoryTheory): Define subobject classifier #21281
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PR summary fc487e3a9fImport changes for modified filesNo significant changes to the import graph Import changes for all files
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Note that the reason for not putting this in the folder |
rename `Classifier.pullback` to `Classifier.isPullback` Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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I'm happy with the maths here, just style and naming questions now. We briefly discussed how the limit assumptions should be set up, I think we agreed that the one here is sensible for now?
This creates the folder
CategoryTheory/Topos
and the fileCategoryTheory/Topos/Classifier.lean
. The proposed code includes the definition of what it means to be a subobject classifier in a categoryC
with a terminal object, and relevant basic results about such a category. This is done in the "internal" sense, for the purpose of eventually defining what it means for a category to be a topos utilizing this definition; see also #21269.