Theorems · Theorem · group theory
AddSubsemigroup.mem_center_iff
∀ {M : Type u_1} [inst : AddSemigroup M] {z : M}, z ∈ AddSubsemigroup.center M ↔ ∀ (g : M), g + z = z + g- 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
- AddSemigroup
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Cites4
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- AddSubsemigroupstatement · cited by 262
- AddSemigroupstatement and proof · cited by 136
- AddSubsemigroup.centerstatement and proof · cited by 19
- AddSemigroup.mem_center_iffproof · cited by 9
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