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add doc string
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morel committed Dec 28, 2024
1 parent 6372b3a commit ab4d5ee
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3 changes: 3 additions & 0 deletions Mathlib/CategoryTheory/Triangulated/Adjunction.lean
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Expand Up @@ -34,6 +34,9 @@ variable {F : C ⥤ D} {G : D ⥤ C} (adj : F ⊣ G) [F.CommShift ℤ] [G.CommSh
[adj.CommShift ℤ] [F.IsTriangulated]

include adj in
/--
The right adjoint of a triangulated functor is triangulated.
-/
lemma isTriangulated_rightAdjoint : G.IsTriangulated where
map_distinguished T hT := by
have : G.Additive := adj.right_adjoint_additive
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