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Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.op_ofObj

∀ {C : Type u} [inst : CategoryTheory.CategoryStruct.{v, u} C] {ι : Type u_1} (X : ι → C),
  (CategoryTheory.ObjectProperty.ofObj X).op = CategoryTheory.ObjectProperty.ofObj fun i => Opposite.op (X i)
Defined in
Mathlib.CategoryTheory.ObjectProperty.Opposite
Cited by
2 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
CategoryTheory.CategoryStruct
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

CategoryTheory.ObjectProperty.op_singleton · cited by 4ObjectProperty.op_singlet…CategoryTheory.ObjectProperty.unop_ofObj · cited by 1ObjectProperty.unop_ofObjOpposite · cited by 8081OppositeOpposite.unop · cited by 2231Opposite.unopCategoryTheory.ObjectProperty · cited by 798CategoryTheory.ObjectProp…CategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…CategoryTheory.ObjectProperty.op · cited by 42ObjectProperty.opCategoryTheory.ObjectProperty.ofObj · cited by 37ObjectProperty.ofObjObjectProperty.op_ofObjCITED BYCITES

Cites6

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Cited by2

Results whose statement or proof uses this declaration.