Theorems · Theorem · category theory

CategoryTheory.ObjectProperty.prop_map_iff

∀ {C : Type u} {D : Type u'} [inst : CategoryTheory.Category.{v, u} C] [inst_1 : CategoryTheory.Category.{v', u'} D]
  (P : CategoryTheory.ObjectProperty C) (F : CategoryTheory.Functor C D) (Y : D),
  P.map F Y ↔ ∃ X, P X ∧ Nonempty (F.obj X ≅ Y)

Defined in

Mathlib.CategoryTheory.ObjectProperty.Basic

Cited by

0 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Category