Theorems · Theorem · group theory
Subsemigroup.center_le_centralizer
∀ {M : Type u_1} [inst : Semigroup M] (S : Set M), Subsemigroup.center M ≤ Subsemigroup.centralizer S- Cited by
- 0 results in Mathlib
- Foundations
- Depth 24 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.
- Setstatement and proof · cited by 53,352
- Subsemigroupstatement · cited by 323
- Semigroupstatement and proof · cited by 202
- Subsemigroup.centerstatement · cited by 38
- Subsemigroup.centralizerstatement · cited by 10
- Set.center_subset_centralizerproof · cited by 8
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