Theorems · Theorem · category theory

MonCat.shrinkFunctor_obj_coe

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (F : CategoryTheory.Functor C MonCat)
  [inst_1 : ∀ (X : C), Small.{w, w'} ↑(F.obj X)] (X : C),
  ↑((MonCat.shrinkFunctor.{w, w', v, u} F).obj X) = Shrink.{w, w'} ↑(F.obj X)

Defined in: Mathlib.Algebra.Category.MonCat.Shrink
Cited by: 0 results in Mathlib
Foundations: Depth 22 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CategoryTheory.Category Small

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CategoryTheory.Categorystatement and proof · cited by 32,673
CategoryTheory.Functor.objstatement and proof · cited by 19,642
CategoryTheory.Functorstatement and proof · cited by 16,252
Smallstatement and proof · cited by 369
Shrinkstatement · cited by 132
MonCatstatement and proof · cited by 127
MonCat.carrierstatement and proof · cited by 107
MonCat.shrinkFunctorstatement and proof · cited by 6

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