Mathlib Map

Theorems · Inductive type · category theory

DirectedSystem

{ι : Type u_1} → [inst : Preorder ι] → (F : ι → Type u_4) → (⦃i j : ι⦄ → i ≤ j → F i → F j) → Prop

A directed system is a functor from a category (directed poset) to another category.

Defined in
Mathlib.Order.DirectedInverseSystem
Cited by
174 results in Mathlib
Foundations
Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Assumes
Preorder

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Cites1

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by209

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 209.