Theorems · Theorem · order theory

ArchimedeanClass.map_mk_eq

∀ {M : Type u_1} [inst : AddCommGroup M] [inst_1 : LinearOrder M] [inst_2 : IsOrderedAddMonoid M] {a b : M}
  {N : Type u_2} [inst_3 : AddCommGroup N] [inst_4 : LinearOrder N] [inst_5 : IsOrderedAddMonoid N] (f : M →+o N),
  ArchimedeanClass.mk a = ArchimedeanClass.mk b → ArchimedeanClass.mk (f a) = ArchimedeanClass.mk (f b)

Defined in

Mathlib.Algebra.Order.Archimedean.Class

Cited by

0 results in Mathlib

Foundations

Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

AddCommGroupLinearOrderIsOrderedAddMonoidAddCommGroupLinearOrderIsOrderedAddMonoid