Mathlib Map

Theorems · Definition · category theory

CategoryTheory.ExactPairing.coevaluation

{C : Type u₁} →
  [inst : CategoryTheory.Category.{v₁, u₁} C] →
    [inst_1 : CategoryTheory.MonoidalCategory C] →
      (X Y : C) →
        [CategoryTheory.ExactPairing X Y] →
          CategoryTheory.MonoidalCategoryStruct.tensorUnit C ⟶ CategoryTheory.MonoidalCategoryStruct.tensorObj X Y

Coevaluation of an exact pairing.

Defined in
Mathlib.CategoryTheory.Monoidal.Rigid.Basic
Cited by
29 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
CategoryTheory.CategoryCategoryTheory.MonoidalCategoryCategoryTheory.ExactPairing
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Around this declaration

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

CategoryTheory.leftAdjointMate · cited by 13CategoryTheory.leftAdjoin…CategoryTheory.rightAdjointMate · cited by 13CategoryTheory.rightAdjoi…CategoryTheory.tensorLeftHomEquiv · cited by 9CategoryTheory.tensorLeft…CategoryTheory.tensorRightHomEquiv · cited by 9CategoryTheory.tensorRigh…CategoryTheory.ExactPairing.coevaluation_evaluation'' · cited by 3ExactPairing.coevaluation…CategoryTheory.ExactPairing.evaluation_coevaluation'' · cited by 3ExactPairing.evaluation_c…CategoryTheory.ExactPairing.coevaluation_evaluation · cited by 2ExactPairing.coevaluation…CategoryTheory.ExactPairing.evaluation_coevaluation · cited by 2ExactPairing.evaluation_c…CategoryTheory.comp_leftAdjointMate · cited by 1CategoryTheory.comp_leftA…CategoryTheory.comp_rightAdjointMate · cited by 1CategoryTheory.comp_right…CategoryTheory.ExactPairing.coevaluation_evaluation_assoc · cited by 1ExactPairing.coevaluation…CategoryTheory.ExactPairing.evaluation_coevaluation_assoc · cited by 1ExactPairing.evaluation_c…CategoryTheory.tensorLeftHomEquiv_symm_coevaluation_comp_whiskerLeft · cited by 1CategoryTheory.tensorLeft…CategoryTheory.tensorLeftHomEquiv_symm_coevaluation_comp_whiskerRight · cited by 1CategoryTheory.tensorLeft…CategoryTheory.tensorLeftHomEquiv_whiskerLeft_comp_evaluation · cited by 1CategoryTheory.tensorLeft…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryQuiver.Hom · cited by 32603Quiver.HomCategoryTheory.MonoidalCategoryStruct.tensorObj · cited by 3106MonoidalCategoryStruct.te…CategoryTheory.MonoidalCategory · cited by 3095CategoryTheory.MonoidalCa…CategoryTheory.MonoidalCategoryStruct.tensorUnit · cited by 1384MonoidalCategoryStruct.te…CategoryTheory.ExactPairing · cited by 20CategoryTheory.ExactPairi…CategoryTheory.ExactPairing.coevaluation' · cited by 2ExactPairing.coevaluation'ExactPairing.coevaluationCITED BYCITES

Cites7

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Cited by38

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