Theorems · Definition · order theory

FiniteMulArchimedeanClass.lift

{M : Type u_1} →
  [inst : CommGroup M] →
    [inst_1 : LinearOrder M] →
      [inst_2 : IsOrderedMonoid M] →
        {α : Type u_2} →
          (f : { a // a ≠ 1 } → α) →
            (∀ (a b : { a // a ≠ 1 }),
                FiniteMulArchimedeanClass.mk ↑a ⋯ = FiniteMulArchimedeanClass.mk ↑b ⋯ → f a = f b) →
              FiniteMulArchimedeanClass M → α

Lift a f : {a : M // a ≠ 1} → α function to FiniteMulArchimedeanClass M → α.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

2 results in Mathlib

Foundations

Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid