Theorems · Theorem · group theory
Subgroup.center_pi
∀ {η : Type u_2} {G : η → Type u_3} [inst : (i : η) → Group (G i)],
Subgroup.center ((i : η) → G i) = Subgroup.pi Set.univ fun i => Subgroup.center (G i)- Defined in
- Mathlib.GroupTheory.Subgroup.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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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
- Set.univstatement and proof · cited by 3,945
- Subgroupstatement · cited by 3,593
- SetLike.coe_injectiveproof · cited by 374
- Subgroup.centerstatement and proof · cited by 121
- Subgroup.pistatement and proof · cited by 23
- Set.center_piproof · cited by 3
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