Theorems · Theorem · category theory

CategoryTheory.Subobject.Classifier.isPullback

∀ {C : Type u} [inst : CategoryTheory.Category.{v, u} C] (self : CategoryTheory.Subobject.Classifier C) {U X : C}
  (m : U ⟶ X) [inst_1 : CategoryTheory.Mono m], CategoryTheory.IsPullback m (self.χ₀ U) (self.χ m) self.truth

χ₀ U and χ m form the appropriate pullback square.

Defined in

Mathlib.CategoryTheory.Subobject.Classifier.Defs

Cited by

5 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

CategoryTheory.CategoryCategoryTheory.Mono