Theorems · Definition · order theory

OrderRingIso.trans

{α : Type u_2} →
  {β : Type u_3} →
    {γ : Type u_4} →
      [inst : Mul α] →
        [inst_1 : Add α] →
          [inst_2 : LE α] →
            [inst_3 : Mul β] →
              [inst_4 : Add β] →
                [inst_5 : LE β] → [inst_6 : Mul γ] → [inst_7 : Add γ] → [inst_8 : LE γ] → α ≃+*o β → β ≃+*o γ → α ≃+*o γ

Composition of OrderRingIsos as an OrderRingIso.

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

5 results in Mathlib

Foundations

Depth 21 from the axioms · uses Quot.sound

Assumes

MulAddLEMulAddLEMulAddLE