[Merged by Bors] - chore: split `CategoryTheory/Sites/SheafOfTypes #7854
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I was planning to add some stuff to this file which was already over 1000 lines long. - The explicit sheaf condition for a sieve/presieve `IsSheafFor` is now in `CategoryTheory/Sites/IsSheafFor`. - The sheaf condition for a sieve/presieve in terms of equalizer diagrams is now in `CategoryTheory/Sites/EqualizerSheafCondition` - Only things related to `IsSheaf`/`IsSeparated` are left in the file `CategoryTheory/Sites/SheafOfTypes`.
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We give more explicit analogues for compatible families of elements for a `Presieve.ofArrows` and prove that if such families have unique amalgamation then the sheaf condition is satisfied. - [x] depends on: #7854 Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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We give more explicit analogues for compatible families of elements for a `Presieve.ofArrows` and prove that if such families have unique amalgamation then the sheaf condition is satisfied. - [x] depends on: #7854 Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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We give more explicit analogues for compatible families of elements for a `Presieve.ofArrows` and prove that if such families have unique amalgamation then the sheaf condition is satisfied. - [x] depends on: #7854 Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>
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I was planning to add some stuff to this file which was already over 1000 lines long.
IsSheafForis now inCategoryTheory/Sites/IsSheafFor.CategoryTheory/Sites/EqualizerSheafConditionIsSheaf/IsSeparatedare left in the fileCategoryTheory/Sites/SheafOfTypes.