Theorems · Theorem · group theory
AddSubmonoid.center_pi
∀ {ι : Type u_2} {M : ι → Type u_3} [inst : (i : ι) → AddZeroClass (M i)],
AddSubmonoid.center ((i : ι) → M i) = AddSubmonoid.pi Set.univ fun i => AddSubmonoid.center (M i)- Defined in
- Mathlib.GroupTheory.Submonoid.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- AddZeroClass
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.univstatement and proof · cited by 3,945
- AddZeroClassstatement and proof · cited by 1,237
- AddSubmonoidstatement · cited by 1,178
- SetLike.coe_injectiveproof · cited by 374
- AddSubmonoid.pistatement and proof · cited by 20
- AddSubmonoid.centerstatement and proof · cited by 15
- Set.addCenter_piproof · cited by 2
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