Mathlib Map

Theorems · Theorem · group theory

Set.centralizer_centralizer_centralizer

∀ {M : Type u_1} [inst : Mul M] (S : Set M), S.centralizer.centralizer.centralizer = S.centralizer
Defined in
Mathlib.Algebra.Group.Center
Cited by
3 results in Mathlib
Foundations
Depth 7 from the axioms · uses propext, Quot.sound
Assumes
Mul
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Subalgebra.centralizer_centralizer_centralizer · cited by 0Subalgebra.centralizer_ce…Submonoid.centralizer_centralizer_centralizer · cited by 0Submonoid.centralizer_cen…Subsemiring.centralizer_centralizer_centralizer · cited by 0Subsemiring.centralizer_c…Set · cited by 53352SetSet.Subset.antisymm · cited by 213Subset.antisymmSet.centralizer · cited by 57Set.centralizerSet.subset_centralizer_centralizer · cited by 13Set.subset_centralizer_ce…Set.centralizer_centralizer_c…CITED BYCITES

Cites4

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

Cited by3

Results whose statement or proof uses this declaration.