Theorems · Theorem · category theory
CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_inverse_obj_map
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
(A : CategoryTheory.Mon C) {X Y : CategoryTheory.Discrete PUnit.{w + 1}} (x : X ⟶ Y),
(CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit.inverse.obj A).map x = CategoryTheory.CategoryStruct.id A.X- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CategoryTheory.Categorystatement and proof · cited by 32,673
- Quiver.Homstatement and proof · cited by 32,603
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.Functor.mapstatement and proof · cited by 8,698
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.Equivalence.inversestatement and proof · cited by 1,130
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.LaxMonoidalFunctorstatement · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorstatement and proof · cited by 63
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