Theorems · Theorem · category theory

CategoryTheory.Subobject.inf_eq_map_pullback

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {A : C}
  (f₁ f₂ : CategoryTheory.Subobject A),
  f₁ ⊓ f₂ = (CategoryTheory.Subobject.map f₁.arrow).obj ((CategoryTheory.Subobject.pullback f₁.arrow).obj f₂)

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

0 results in Mathlib

Foundations

Depth 42 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks