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feat(Algebra/Category/ModuleCat): pullback of presheaves of modules #17366

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@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 19, 2024
mathlib-bors bot pushed a commit that referenced this pull request Oct 23, 2024
Given a functor `F : D ⥤ C`, we define a functor`F.partialLeftAdjoint : F.PartialLeftAdjointSource ⥤ D` which is defined on a certain full subcategory of `C`. It satisfies similar properties to the left adjoint of `F` (if this existed). We show that the domain of definition of this partial left adjoint is stable under certain colimits.

This shall be used in #17366 in order to show the existence of the pullback functor on categories of presheaves of modules.
@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 23, 2024
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot removed the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Oct 24, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 24, 2024
@mathlib4-dependent-issues-bot mathlib4-dependent-issues-bot added the blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) label Oct 24, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant added the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 24, 2024
@leanprover-community-bot-assistant leanprover-community-bot-assistant removed the merge-conflict The PR has a merge conflict with master, and needs manual merging. (this label is managed by a bot) label Oct 24, 2024
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blocked-by-other-PR This PR depends on another PR to Mathlib (this label is automatically managed by a bot) t-algebra Algebra (groups, rings, fields, etc) t-algebraic-geometry Algebraic geometry t-category-theory Category theory WIP Work in progress
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