Theorems · Definition · category theory

CategoryTheory.fromFinalModel

(J : Type u) →
  [inst : CategoryTheory.Category.{v, u} J] →
    [inst_1 : CategoryTheory.FinallySmall J] → CategoryTheory.Functor (CategoryTheory.FinalModel J) J

An arbitrarily chosen final functor FinalModel J ⥤ J.

Defined in: Mathlib.CategoryTheory.Limits.FinallySmall
Cited by: 5 results in Mathlib
Foundations: Depth 11 from the axioms · uses Classical.choice
Assumes: CategoryTheory.Category CategoryTheory.FinallySmall

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Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites4

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.Functorstatement · cited by 16,252
CategoryTheory.FinallySmallstatement and proof · cited by 16
CategoryTheory.FinalModelstatement · cited by 3

Cited by5

Results whose statement or proof uses this declaration.

CategoryTheory.Limits.hasColimitsOfShape_of_finallySmallproof · cited by 2
CategoryTheory.FinallySmall.exists_small_weakly_terminal_setproof · cited by 2
CategoryTheory.finallySmall_of_final_of_finallySmallproof · cited by 2
CategoryTheory.Limits.isIndObject_of_isFiltered_of_finallySmallproof · cited by 1
CategoryTheory.FinallySmall.exists_of_isFilteredproof · cited by 1