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Theorems · Theorem · group theory

Set.centralizer_univ

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

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

Subgroup.centralizer_univ · cited by 3Subgroup.centralizer_univSubalgebra.centralizer_univ · cited by 2Subalgebra.centralizer_un…NonUnitalStarSubalgebra.centralizer_univ · cited by 0NonUnitalStarSubalgebra.c…NonUnitalSubsemiring.centralizer_univ · cited by 0NonUnitalSubsemiring.cent…NonUnitalSubalgebra.centralizer_univ · cited by 0NonUnitalSubalgebra.centr…Subsemigroup.centralizer_univ · cited by 0Subsemigroup.centralizer_…NonUnitalSubring.centralizer_univ · cited by 0NonUnitalSubring.centrali…Subring.centralizer_univ · cited by 0Subring.centralizer_univSubmonoid.centralizer_univ · cited by 0Submonoid.centralizer_univSubsemiring.centralizer_univ · cited by 0Subsemiring.centralizer_u…Set · cited by 53352SetSet.univ · cited by 3945Set.univSet.mem_univ · cited by 416Set.mem_univSet.Subset.antisymm · cited by 213Subset.antisymmSemigroup · cited by 202SemigroupCommute.symm · cited by 79Commute.symmSet.centralizer · cited by 57Set.centralizerSet.center · cited by 49Set.centerIsMulCentral.comm · cited by 26IsMulCentral.commSemigroup.mem_center_iff · cited by 12Semigroup.mem_center_iffSet.centralizer_univCITED BYCITES

Cites10

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.