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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.unop_ofObj

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {ι : Type u_1} (X : ι → Cᵒᵖ),
  (CategoryTheory.ObjectProperty.ofObj X).unop = CategoryTheory.ObjectProperty.ofObj fun i => Opposite.unop (X i)
Defined in
Mathlib.CategoryTheory.ObjectProperty.Opposite
Cited by
1 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryStruct
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

CategoryTheory.ObjectProperty.unop_singleton · cited by 4ObjectProperty.unop_singl…Opposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.ofObj · cited by 37ObjectProperty.ofObjCategoryTheory.ObjectProperty.unop · cited by 29ObjectProperty.unopCategoryTheory.ObjectProperty.op_injective · cited by 2ObjectProperty.op_injecti…CategoryTheory.ObjectProperty.op_ofObj · cited by 2ObjectProperty.op_ofObjObjectProperty.unop_ofObjCITED BYCITES

Cites8

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Cited by1

Results whose statement or proof uses this declaration.