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Theorems · Theorem · group theory

IsOfFinOrder.snd

∀ {α : Type u_4} {β : Type u_5} [inst : Monoid α] [inst_1 : Monoid β] {x : α × β}, IsOfFinOrder x → IsOfFinOrder x.2
Defined in
Mathlib.GroupTheory.OrderOfElement
Cited by
1 results in Mathlib
Foundations
Depth 40 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
MonoidMonoid
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Around this declaration

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

IsOfFinOrder.prod_iff · cited by 0IsOfFinOrder.prod_iffMonoid · cited by 3887MonoidIsOfFinOrder · cited by 113IsOfFinOrderIsOfFinOrder.mono · cited by 2IsOfFinOrder.monoorderOf_snd_dvd_orderOf · cited by 1orderOf_snd_dvd_orderOfIsOfFinOrder.sndCITED BYCITES

Cites4

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

Cited by1

Results whose statement or proof uses this declaration.