Mathlib Map

Theorems · Theorem · group theory

IsOfFinAddOrder.prod_iff

∀ {α : Type u_4} {β : Type u_5} [inst : AddMonoid α] [inst_1 : AddMonoid β] {x : α × β},
  IsOfFinAddOrder x ↔ IsOfFinAddOrder x.1 ∧ IsOfFinAddOrder x.2
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
2 results in Mathlib
Foundations
Depth 41 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.

AddCommGroup.torsion_sum · cited by 0AddCommGroup.torsion_sumAddCommMonoid.torsion_sum · cited by 0AddCommMonoid.torsion_sumAddMonoid · cited by 2864AddMonoidIsOfFinAddOrder · cited by 105IsOfFinAddOrderIsOfFinAddOrder.fst · cited by 1IsOfFinAddOrder.fstIsOfFinAddOrder.prod_mk · cited by 1IsOfFinAddOrder.prod_mkIsOfFinAddOrder.snd · cited by 1IsOfFinAddOrder.sndIsOfFinAddOrder.prod_iffCITED BYCITES

Cites5

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.