Theorems · Theorem · group theory
Submonoid.center_prod
∀ {M : Type u_1} [inst : MulOneClass M] {N : Type u_2} [inst_1 : MulOneClass N],
Submonoid.center (M × N) = (Submonoid.center M).prod (Submonoid.center N)- 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
- MulOneClassMulOneClass
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Submonoidstatement · cited by 3,086
- MulOneClassstatement and proof · cited by 1,018
- SetLike.coe_injectiveproof · cited by 374
- Submonoid.prodstatement and proof · cited by 27
- Submonoid.centerstatement and proof · cited by 24
- Set.center_prodproof · cited by 10
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