coeOrderAddMonoidHom — Mathlib

English

For any Archimedean class a of M, the image under archimedeanClassOrderIso is the corresponding class in DivisibleHull M, i.e., archimedeanClassOrderIso M a = ArchimedeanClass.orderHom (coeOrderMonoidHom M) a.

Русский

Раздел ArchimedeanClass применим к архитектуре из M в DivisibleHull M: archimedeanClassOrderIso M a = ArchimedeanClass.orderHom (coeOrderMonoidHom M) a.

LaTeX

$$archimedeanClassOrderIso M a = ArchimedeanClass.orderHom (coeOrderMonoidHom M) a$$

Lean4

/-- Coercion from `M` to `DivisibleHull M` as an `OrderAddMonoidHom`. -/
@[simps!]
def coeOrderAddMonoidHom : M →+o DivisibleHull M
    where
  __ := coeAddMonoidHom M
  monotone' a b h := by simpa using h

Похожие утверждения