subsingleton_left — Mathlib

English

There is a Subsingleton instance for OrderIso α β implying uniqueness of isomorphisms.

Русский

Существует экземпляр_subsingleton_left для OrderIso α β, что означает уникальность изоморфизмов.

LaTeX

$$$\text{OrderIso.subsingleton_left }$$$

Lean4

/-- There is at most one ordered ring isomorphism between an archimedean linear ordered field and a
linear ordered field. -/
instance subsingleton_left [IsStrictOrderedRing α] [Archimedean α] : Subsingleton (α ≃+*o β) :=
  OrderRingIso.symm_bijective.injective.subsingleton

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