Mathlib Map

Theorems · Theorem · group theory

IsOfFinAddOrder.mono

∀ {G : Type u_1} {β : Type u_5} [inst : AddMonoid G] {x : G} [inst_1 : AddMonoid β] {y : β},
  IsOfFinAddOrder x → addOrderOf y ∣ addOrderOf x → IsOfFinAddOrder y
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
2 results in Mathlib
Foundations
Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidAddMonoid
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

IsOfFinAddOrder.fst · cited by 1IsOfFinAddOrder.fstIsOfFinAddOrder.snd · cited by 1IsOfFinAddOrder.sndAddMonoid · cited by 2864AddMonoidaddOrderOf · cited by 208addOrderOfIsOfFinAddOrder · cited by 105IsOfFinAddOrderaddOrderOf_pos_iff · cited by 10addOrderOf_pos_iffIsOfFinAddOrder.monoCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.