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Theorems · Theorem · group theory

isAddCyclic_right_of_prod

∀ (M : Type u_4) (N : Type u_5) [inst : AddGroup M] [inst_1 : AddGroup N] [cyc : IsAddCyclic (M × N)], IsAddCyclic N
Defined in
Mathlib.GroupTheory.SpecificGroups.Cyclic
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
Assumes
AddGroupAddGroupIsAddCyclic
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Around this declaration

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

coprime_card_of_isAddCyclic_prod · cited by 2coprime_card_of_isAddCycl…AddGroup.isAddCyclic_prod_iff · cited by 0AddGroup.isAddCyclic_prod…AddGroup · cited by 4410AddGroupIsAddCyclic · cited by 55IsAddCyclicAddMonoidHom.snd · cited by 42AddMonoidHom.sndProd.snd_surjective · cited by 22Prod.snd_surjectiveisAddCyclic_of_surjective · cited by 5isAddCyclic_of_surjectiveisAddCyclic_right_of_prodCITED BYCITES

Cites5

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Cited by2

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