Theorems · Definition · order theory

OrderRingIsoClass.toOrderRingIso

{F : Type u_1} →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : EquivLike F α β] →
        [inst_1 : Mul α] →
          [inst_2 : Add α] →
            [inst_3 : LE α] →
              [inst_4 : Mul β] →
                [inst_5 : Add β] → [inst_6 : LE β] → [OrderIsoClass F α β] → [RingEquivClass F α β] → F → α ≃+*o β

Turn an element of a type F satisfying OrderIsoClass F α β and RingEquivClass F α β into an actual OrderRingIso. This is declared as the default coercion from F to α ≃+*o β.

Defined in

Mathlib.Algebra.Order.Hom.Ring

Cited by

0 results in Mathlib

Foundations

Depth 13 from the axioms · uses Quot.sound

Assumes

EquivLikeMulAddLEMulAddLEOrderIsoClassRingEquivClass