Theorems · Theorem · group theory
Subgroup.center_prod
∀ {G : Type u_1} [inst : Group G] {H : Type u_2} [inst_1 : Group H],
Subgroup.center (G × H) = (Subgroup.center G).prod (Subgroup.center H)- Defined in
- Mathlib.GroupTheory.Subgroup.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Groupstatement and proof · cited by 6,238
- Subgroupstatement · cited by 3,593
- SetLike.coe_injectiveproof · cited by 374
- Subgroup.centerstatement and proof · cited by 121
- Subgroup.prodstatement and proof · cited by 35
- Set.center_prodproof · cited by 10
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