Theorems · Definition · order theory

MulArchimedeanClass.lift

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

Lift a M → α function to MulArchimedeanClass M → α.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

3 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid