Mathlib Map

Theorems · Definition · ring theory

NonUnitalSubsemiring.centralizer

{R : Type u_1} → [inst : NonUnitalSemiring R] → Set R → NonUnitalSubsemiring R

The centralizer of a set as non-unital subsemiring.

Defined in
Mathlib.RingTheory.NonUnitalSubsemiring.Basic
Cited by
10 results in Mathlib
Foundations
Depth 9 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

NonUnitalSubalgebra.centralizer · cited by 12NonUnitalSubalgebra.centr…NonUnitalSubring.centralizer · cited by 10NonUnitalSubring.centrali…NonUnitalSubsemiring.closure_le_centralizer_centralizer · cited by 1NonUnitalSubsemiring.clos…NonUnitalSubsemiring.centralizer_eq_top_iff_subset · cited by 0NonUnitalSubsemiring.cent…NonUnitalSubsemiring.centralizer_le · cited by 0NonUnitalSubsemiring.cent…NonUnitalSubsemiring.centralizer_toSubsemigroup · cited by 0NonUnitalSubsemiring.cent…NonUnitalSubsemiring.centralizer_univ · cited by 0NonUnitalSubsemiring.cent…NonUnitalSubsemiring.mem_centralizer_iff · cited by 0NonUnitalSubsemiring.mem_…NonUnitalSubsemiring.isMulCommutative_closure · cited by 0NonUnitalSubsemiring.isMu…NonUnitalSubring.centralizer_toNonUnitalSubsemiring · cited by 0NonUnitalSubring.centrali…NonUnitalSubsemiring.coe_centralizer · cited by 0NonUnitalSubsemiring.coe_…NonUnitalSubsemiring.center_le_centralizer · cited by 0NonUnitalSubsemiring.cent…Set · cited by 53352SetNonUnitalSemiring · cited by 339NonUnitalSemiringSubsemigroup · cited by 323SubsemigroupNonUnitalSubsemiring · cited by 201NonUnitalSubsemiringSet.centralizer · cited by 57Set.centralizerSubsemigroup.centralizer · cited by 10Subsemigroup.centralizerNonUnitalSubsemiring.centrali…CITED BYCITES

Cites6

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

Cited by12

Results whose statement or proof uses this declaration.