Mathlib Map

Theorems · Inductive type · group theory

IsAddCentral

{M : Type u_1} → [Add M] → M → Prop

Conditions for an element to be additively central

Defined in
Mathlib.Algebra.Group.Center
Cited by
8 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
Add
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Around this declaration

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

Set.addCenter · cited by 20Set.addCenterIsAddCentral.comm · cited by 10IsAddCentral.commisAddCentral_iff · cited by 5isAddCentral_iffSet.mem_addCenter_iff · cited by 4Set.mem_addCenter_iffIsAddCentral.right_assoc · cited by 3IsAddCentral.right_assocIsAddCentral.right_comm · cited by 1IsAddCentral.right_commIsAddCentral.casesOn · cited by 1IsAddCentral.casesOnIsAddCentral.left_assoc · cited by 1IsAddCentral.left_assocIsAddCentral.mid_assoc · cited by 1IsAddCentral.mid_assocIsAddCentral.recOn · cited by 0IsAddCentral.recOnIsAddCentral.left_comm · cited by 0IsAddCentral.left_commIsAddCentralCITED BYCITES

Cites0

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

Nothing in Mathlib beyond the foundations.

Cited by11

Results whose statement or proof uses this declaration.