Theorems · Theorem · category theory

CategoryTheory.Subobject.inf_comp_right

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.Limits.HasPullbacks C] {A : C}
  (f g : CategoryTheory.Subobject A), CategoryTheory.CategoryStruct.comp ((f ⊓ g).ofLE g ⋯) g.arrow = (f ⊓ g).arrow

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

1 results in Mathlib

Foundations

Depth 43 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.Limits.HasPullbacks