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Theorems · Definition · category theory

CategoryTheory.StructuredArrow.right

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    {D : Type u₂} →
      [inst_1 : CategoryTheory.Category.{v₂, u₂} D] →
        {S : D} → {T : CategoryTheory.Functor C D} → CategoryTheory.StructuredArrow S T → C

The right object of a structured arrow.

Defined in
Mathlib.CategoryTheory.Comma.StructuredArrow.Basic
Cited by
213 results in Mathlib
Foundations
Depth 24 from the axioms, rests on 122 definitions · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.CategoryCategoryTheory.Category

Around this declaration

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

CategoryTheory.StructuredArrow.hom · cited by 150StructuredArrow.homCategoryTheory.StructuredArrow.Hom.right · cited by 82Hom.rightCategoryTheory.StructuredArrow.homMk · cited by 47StructuredArrow.homMkCategoryTheory.Functor.leftKanExtension · cited by 29Functor.leftKanExtensionCategoryTheory.Bicategory.LeftLift.lift · cited by 21LeftLift.liftCategoryTheory.Functor.LeftExtension.coconeAt · cited by 20LeftExtension.coconeAtCategoryTheory.Bicategory.LeftExtension.extension · cited by 19LeftExtension.extensionCategoryTheory.StructuredArrow.w · cited by 16StructuredArrow.wCategoryTheory.StructuredArrow.isoMk · cited by 14StructuredArrow.isoMkCategoryTheory.StructuredArrow.commaMapEquivalenceFunctor · cited by 13StructuredArrow.commaMapE…CategoryTheory.StructuredArrow.preEquivalenceInverse · cited by 9StructuredArrow.preEquiva…CategoryTheory.Functor.RightExtension.coneAt · cited by 9RightExtension.coneAtCategoryTheory.StructuredArrow.ofCommaSndEquivalenceFunctor · cited by 8StructuredArrow.ofCommaSn…CategoryTheory.TwoSquare.structuredArrowRightwardsOpEquivalence.functor · cited by 8structuredArrowRightwards…CategoryTheory.StructuredArrow.preEquivalenceFunctor · cited by 7StructuredArrow.preEquiva…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Functor · cited by 16252CategoryTheory.FunctorCategoryTheory.Comma.right · cited by 727Comma.rightCategoryTheory.StructuredArrow · cited by 370CategoryTheory.Structured…StructuredArrow.rightCITED BYCITES

Cites4

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

Cited by269

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 269.