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Theorems · Theorem · group theory

IsOfFinAddOrder.fst

∀ {α : Type u_4} {β : Type u_5} [inst : AddMonoid α] [inst_1 : AddMonoid β] {x : α × β},
  IsOfFinAddOrder x → IsOfFinAddOrder x.1
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 40 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 105IsOfFinAddOrderIsOfFinAddOrder.mono · cited by 2IsOfFinAddOrder.monoaddOrderOf_fst_dvd_addOrderOf · cited by 1addOrderOf_fst_dvd_addOrd…IsOfFinAddOrder.fstCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.