Theorems · Theorem · group theory
Subsemigroup.center_eq_top
∀ (M : Type u_1) [inst : CommSemigroup M], Subsemigroup.center M = ⊤
- Defined in
- Mathlib.GroupTheory.Subsemigroup.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemigroup
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topstatement and proof · cited by 9,680
- SetLike.coe_injectiveproof · cited by 374
- Subsemigroupstatement · cited by 323
- CommSemigroupstatement and proof · cited by 62
- Subsemigroup.centerstatement and proof · cited by 38
- Set.center_eq_univproof · cited by 10
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