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Theorems · Definition · category theory

CategoryTheory.MonoidalOpposite.mopMopEquivalence

(C : Type u₁) → [inst : CategoryTheory.Category.{v₁, u₁} C] → Cᴹᵒᵖᴹᵒᵖ ≌ C

The equivalence between C and its monoidal opposite's monoidal opposite.

Defined in
Mathlib.CategoryTheory.Monoidal.Opposite
Cited by
16 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CategoryTheory.Category
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Around this declaration

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

CategoryTheory.MonoidalOpposite.mopMopEquivalenceFunctorMonoidal_δ · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceFunctorMonoidal_ε · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceFunctorMonoidal_η · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceFunctorMonoidal_μ · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceInverseMonoidal_δ_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceInverseMonoidal_ε_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceInverseMonoidal_η_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalenceInverseMonoidal_μ_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_counitIso_hom_app · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_counitIso_inv_app · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_functor_map · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_functor_obj · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_inverse_map_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_inverse_obj_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.MonoidalOpposite.mopMopEquivalence_unitIso_hom_app_unmop_unmop · cited by 0MonoidalOpposite.mopMopEq…CategoryTheory.Category · cited by 32673CategoryTheory.CategoryCategoryTheory.Equivalence · cited by 601CategoryTheory.EquivalenceCategoryTheory.MonoidalOpposite · cited by 179CategoryTheory.MonoidalOp…CategoryTheory.Equivalence.trans · cited by 57Equivalence.transCategoryTheory.MonoidalOpposite.unmopEquiv · cited by 14MonoidalOpposite.unmopEqu…MonoidalOpposite.mopMopEquiva…CITED BYCITES

Cites5

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Cited by16

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