Theorems · Theorem · group theory
AddSubgroup.center_pi
∀ {η : Type u_2} {G : η → Type u_3} [inst : (i : η) → AddGroup (G i)],
AddSubgroup.center ((i : η) → G i) = AddSubgroup.pi Set.univ fun i => AddSubgroup.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
- AddGroup
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- Set.univstatement and proof · cited by 3,945
- AddSubgroupstatement · cited by 3,232
- SetLike.coe_injectiveproof · cited by 374
- AddSubgroup.centerstatement and proof · cited by 40
- AddSubgroup.pistatement and proof · cited by 26
- Set.addCenter_piproof · cited by 2
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