Theorems · Definition · order theory

OrderHom.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} → [inst : Preorder α] → [inst_1 : Preorder β] → [inst_2 : Preorder γ] → (β →o γ) → (α →o β) → α →o γ

The composition of two bundled monotone functions.

Defined in

Mathlib.Order.Hom.Basic

Cited by

61 results in Mathlib

Foundations

Depth 11 from the axioms · uses no axioms

Assumes

PreorderPreorderPreorder