Theorems · Definition · order theory

OrderRingHom.comp

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : NonAssocSemiring α] →
        [inst_1 : Preorder α] →
          [inst_2 : NonAssocSemiring β] →
            [inst_3 : Preorder β] →
              [inst_4 : NonAssocSemiring γ] → [inst_5 : Preorder γ] → β →+*o γ → α →+*o β → α →+*o γ

Composition of two OrderRingHoms as an OrderRingHom.

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

15 results in Mathlib

Foundations

Depth 19 from the axioms · uses propext, Quot.sound

Assumes

NonAssocSemiringPreorderNonAssocSemiringPreorderNonAssocSemiringPreorder