Theorems · Definition · order theory

OrderMonoidIsoClass.toOrderMonoidIso

{F : Type u_1} →
  {α : Type u_2} →
    {β : Type u_3} →
      [inst : Preorder α] →
        [inst_1 : Preorder β] →
          [inst_2 : MulOneClass α] →
            [inst_3 : MulOneClass β] →
              [inst_4 : EquivLike F α β] → [OrderIsoClass F α β] → [MulEquivClass F α β] → F → α ≃*o β

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

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

0 results in Mathlib

Foundations

Depth 12 from the axioms · uses Quot.sound

Assumes

PreorderPreorderMulOneClassMulOneClassEquivLikeOrderIsoClassMulEquivClass