Theorems · Theorem · group theory
Subsemigroup.centralizer_univ
∀ (M : Type u_1) [inst : Semigroup M], Subsemigroup.centralizer Set.univ = Subsemigroup.center M
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- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semigroup
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.univstatement · cited by 3,945
- Subsemigroupstatement · cited by 323
- Semigroupstatement and proof · cited by 202
- SetLike.ext'proof · cited by 60
- Subsemigroup.centerstatement · cited by 38
- Subsemigroup.centralizerstatement · cited by 10
- Set.centralizer_univproof · cited by 10
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