Theorems · Theorem · category theory

CategoryTheory.Subobject.le_sInf

∀ {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 : CategoryTheory.Subobject A),
  (∀ g ∈ s, f ≤ g) → f ≤ CategoryTheory.Subobject.sInf s

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