[Merged by Bors] - feat(CategoryTheory/Functor): pointwise left Kan extensions #10413
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Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
Co-authored-by: Markus Himmel <markus@himmel-villmar.de>
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In this PR, we introduce pointwise left Kan extensions: a criteria `IsPointwiseLeftKanExtension`, a typeclass `HasPointwiseLeftKanExtension` (which asserts the existence of certain colimits) and a construction of a pointwise left Kan extension when `HasPointwiseLeftKanExtension` holds. We also show that pointwise left Kan extensions are left Kan extensions. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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In this PR, we introduce pointwise left Kan extensions: a criteria `IsPointwiseLeftKanExtension`, a typeclass `HasPointwiseLeftKanExtension` (which asserts the existence of certain colimits) and a construction of a pointwise left Kan extension when `HasPointwiseLeftKanExtension` holds. We also show that pointwise left Kan extensions are left Kan extensions. Co-authored-by: Joël Riou <37772949+joelriou@users.noreply.github.com>
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In this PR, we introduce pointwise left Kan extensions: a criteria
IsPointwiseLeftKanExtension, a typeclassHasPointwiseLeftKanExtension(which asserts the existence of certain colimits) and a construction of a pointwise left Kan extension whenHasPointwiseLeftKanExtensionholds. We also show that pointwise left Kan extensions are left Kan extensions.