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Theorems · Theorem · group theory

IsOfFinAddOrder.prod_mk

∀ {α : Type u_4} {β : Type u_5} [inst : AddMonoid α] [inst_1 : AddMonoid β] {a : α} {b : β},
  IsOfFinAddOrder a → IsOfFinAddOrder b → IsOfFinAddOrder (a, b)
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 39 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
AddMonoidAddMonoid
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Around this declaration

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

IsOfFinAddOrder.prod_iff · cited by 2IsOfFinAddOrder.prod_iffAddMonoid · cited by 2864AddMonoidIsOfFinAddOrder · cited by 105IsOfFinAddOrderaddOrderOf_pos_iff · cited by 10addOrderOf_pos_iffProd.addOrderOf · cited by 2Prod.addOrderOfIsOfFinAddOrder.prod_mkCITED BYCITES

Cites4

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Cited by1

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