Theorems · Theorem · category theory

CategoryTheory.InternallyProjective.ofRetract

∀ {C : Type u_1} [inst : CategoryTheory.Category.{v_1, u_1} C] [inst_1 : CategoryTheory.MonoidalCategory C]
  [inst_2 : CategoryTheory.MonoidalClosed C] {X Y : C} (r : CategoryTheory.Retract Y X)
  [CategoryTheory.InternallyProjective X], CategoryTheory.InternallyProjective Y

Defined in: Mathlib.CategoryTheory.Preadditive.Projective.Internal
Cited by: 0 results in Mathlib
Foundations: Depth 37 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category CategoryTheory.MonoidalCategory CategoryTheory.MonoidalClosed CategoryTheory.InternallyProjective

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
CategoryTheory.MonoidalClosedstatement and proof · cited by 134
CategoryTheory.Retractstatement and proof · cited by 34
CategoryTheory.InternallyProjectivestatement and proof · cited by 8
CategoryTheory.isInternallyProjectiveproof · cited by 2
CategoryTheory.ObjectProperty.prop_of_retractproof · cited by 2
CategoryTheory.ObjectProperty.prop_of_isproof · cited by 1

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