Theorems · Theorem · order theory

MulArchimedeanClass.liftOrderHom_mk

∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M] {α : Type u_2}
  [inst_3 : PartialOrder α] (f : M → α)
  (h : ∀ (a b : M), MulArchimedeanClass.mk a ≤ MulArchimedeanClass.mk b → f a ≤ f b) (a : M),
  (MulArchimedeanClass.liftOrderHom f h) (MulArchimedeanClass.mk a) = f a

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

0 results in Mathlib

Foundations

Depth 29 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoidPartialOrder