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Theorems · Theorem · group theory

Set.center_eq_univ

∀ (M : Type u_1) [inst : CommSemigroup M], Set.center M = Set.univ
Defined in
Mathlib.Algebra.Group.Center
Cited by
10 results in Mathlib
Foundations
Depth 8 from the axioms · uses propext, Quot.sound
Assumes
CommSemigroup
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Subring.center_eq_top · cited by 1Subring.center_eq_topSubalgebra.center_eq_top · cited by 0Subalgebra.center_eq_topSubsemigroup.center_eq_top · cited by 0Subsemigroup.center_eq_topNonUnitalSubring.center_eq_top · cited by 0NonUnitalSubring.center_e…Matrix.center_eq_range · cited by 0Matrix.center_eq_rangeSubmonoid.center_eq_top · cited by 0Submonoid.center_eq_topSubsemiring.center_eq_top · cited by 0Subsemiring.center_eq_topNonUnitalSubsemiring.center_eq_top · cited by 0NonUnitalSubsemiring.cent…NonUnitalStarSubalgebra.center_eq_top · cited by 0NonUnitalStarSubalgebra.c…NonUnitalSubalgebra.center_eq_top · cited by 0NonUnitalSubalgebra.cente…Set · cited by 53352SetSet.univ · cited by 3945Set.univmul_comm · cited by 2262mul_commSet.subset_univ · cited by 228Set.subset_univSet.Subset.antisymm · cited by 213Subset.antisymmCommSemigroup · cited by 62CommSemigroupSet.center · cited by 49Set.centerSemigroup.mem_center_iff · cited by 12Semigroup.mem_center_iffSet.center_eq_univCITED BYCITES

Cites8

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by10

Results whose statement or proof uses this declaration.