Theorems · Theorem · category theory

GrpCat.shrinkFunctor.congr_simp

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (F F_1 : CategoryTheory.Functor C GrpCat) (e_F : F = F_1)
  [inst_1 : ∀ (X : C), Small.{w, w'} ↑(F.obj X)],
  GrpCat.shrinkFunctor.{w, w', v, u} F = GrpCat.shrinkFunctor.{w, w', v, u} F_1

Defined in: Mathlib.CategoryTheory.Monoidal.Cartesian.ShrinkYoneda
Cited by: 0 results in Mathlib
Foundations: Depth 23 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
GrpCatstatement and proof · cited by 146
GrpCat.carrierstatement and proof · cited by 125
GrpCat.shrinkFunctorstatement and proof · cited by 6

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