Theorems · Theorem · order theory

MulArchimedeanClass.ind

∀ {M : Type u_1} [inst : CommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedMonoid M]
  {motive : MulArchimedeanClass M → Prop},
  (∀ (a : M), motive (MulArchimedeanClass.mk a)) → ∀ (x : MulArchimedeanClass M), motive x

An induction principle for MulArchimedeanClass.

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

1 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Quot.sound

Assumes

CommGroupLinearOrderIsOrderedMonoid