Theorems · Theorem · category theory
CategoryTheory.Mon.EquivLaxMonoidalFunctorPUnit.monToLaxMonoidal_laxMonoidalToMon_obj_one
∀ (C : Type u₁) [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.MonoidalCategory C]
(F : CategoryTheory.Mon C),
CategoryTheory.MonObj.one =
CategoryTheory.CategoryStruct.comp CategoryTheory.MonObj.one (CategoryTheory.CategoryStruct.id F.X)- Defined in
- Mathlib.CategoryTheory.Monoidal.Mon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 34 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites15
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 · cited by 32,603
- CategoryTheory.Functor.objstatement · cited by 19,642
- CategoryTheory.CategoryStruct.compstatement · cited by 17,999
- CategoryTheory.Functor.compstatement · cited by 6,529
- CategoryTheory.CategoryStruct.idstatement · cited by 6,235
- CategoryTheory.MonoidalCategorystatement and proof · cited by 3,095
- CategoryTheory.Discretestatement · cited by 2,447
- CategoryTheory.MonoidalCategoryStruct.tensorUnitstatement · cited by 1,384
- CategoryTheory.Monstatement and proof · cited by 465
- CategoryTheory.Mon.Xstatement · cited by 329
- CategoryTheory.MonObj.onestatement · cited by 189
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