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Theorems · Definition · category theory

CategoryTheory.MorphismProperty.unop

{C : Type u} →
  [inst : CategoryTheory.CategoryStruct.{v, u} C] →
    CategoryTheory.MorphismProperty Cᵒᵖ → CategoryTheory.MorphismProperty C

The morphism property in C associated to a morphism property in Cᵒᵖ

Defined in
Mathlib.CategoryTheory.MorphismProperty.Basic
Cited by
22 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryStruct

Around this declaration

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

CategoryTheory.MorphismProperty.LeftFraction.unop · cited by 5LeftFraction.unopCategoryTheory.MorphismProperty.RightFraction.unop · cited by 4RightFraction.unopCategoryTheory.MorphismProperty.LeftFractionRel.unop · cited by 4LeftFractionRel.unopCategoryTheory.MorphismProperty.MapFactorizationData.unop · cited by 4MapFactorizationData.unopCategoryTheory.MorphismProperty.RightFractionRel.unop · cited by 1RightFractionRel.unopSSet.Truncated.liftOfStrictSegal.naturalityProperty · cited by 1liftOfStrictSegal.natural…CategoryTheory.MorphismProperty.RightFraction.unop_Y' · cited by 0RightFraction.unop_Y'CategoryTheory.MorphismProperty.RightFraction.unop_f · cited by 0RightFraction.unop_fCategoryTheory.MorphismProperty.RightFraction.unop_s · cited by 0RightFraction.unop_sCategoryTheory.MorphismProperty.IsMultiplicative.of_unop · cited by 0IsMultiplicative.of_unopCategoryTheory.MorphismProperty.unop_op · cited by 0MorphismProperty.unop_opHomotopicalAlgebra.trivialCofibrations_eq_unop · cited by 0HomotopicalAlgebra.trivia…CategoryTheory.MorphismProperty.StableUnderInverse.unop · cited by 0StableUnderInverse.unopCategoryTheory.MorphismProperty.op_unop · cited by 0MorphismProperty.op_unopHomotopicalAlgebra.cofibrations_eq_unop · cited by 0HomotopicalAlgebra.cofibr…Quiver.Hom · cited by 32603Quiver.HomOpposite · cited by 8081OppositeCategoryTheory.MorphismProperty · cited by 2179CategoryTheory.MorphismPr…Quiver.Hom.op · cited by 1948Hom.opCategoryTheory.CategoryStruct · cited by 343CategoryTheory.CategorySt…MorphismProperty.unopCITED BYCITES

Cites5

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by26

Results whose statement or proof uses this declaration.