Theorems · Theorem · category theory

CategoryTheory.Subobject.sInf_le

∀ {C : Type u₁} [inst : CategoryTheory.Category.{v₁, u₁} C] [inst_1 : CategoryTheory.LocallySmall.{w, v₁, u₁} C]
  [inst_2 : CategoryTheory.WellPowered.{w, v₁, u₁} C] [inst_3 : CategoryTheory.Limits.HasWidePullbacks C] {A : C}
  (s : Set (CategoryTheory.Subobject A)), ∀ f ∈ s, CategoryTheory.Subobject.sInf s ≤ f

Defined in

Mathlib.CategoryTheory.Subobject.Lattice

Cited by

0 results in Mathlib

Foundations

Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CategoryTheory.CategoryCategoryTheory.LocallySmallCategoryTheory.WellPoweredCategoryTheory.Limits.HasWidePullbacks