Theorems · Theorem · category theory
CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit_functor_obj_X
∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
(F : CategoryTheory.LaxMonoidalFunctor (CategoryTheory.Discrete PUnit.{w + 1}) C),
(CategoryTheory.Mon.equivLaxMonoidalFunctorPUnit.functor.obj F).X =
F.obj (CategoryTheory.MonoidalCategoryStruct.tensorUnit (CategoryTheory.Discrete PUnit.{w + 1}))- 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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Cites11
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
- CategoryTheory.Functor.objstatement and proof · cited by 19,642
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement and proof · cited by 2,447
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.Equivalence.functorstatement and proof · cited by 1,268
- CategoryTheory.Monstatement · cited by 465
- CategoryTheory.Mon.Xstatement and proof · cited by 329
- CategoryTheory.LaxMonoidalFunctorstatement and proof · cited by 96
- CategoryTheory.LaxMonoidalFunctor.toFunctorstatement · cited by 63
- CategoryTheory.Mon.equivLaxMonoidalFunctorPUnitstatement and proof · cited by 13
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