Mathlib Map

Theorems · Theorem · group theory

Set.addCenter_prod

∀ {M : Type u_1} [inst : Add M] {N : Type u_2} [inst_1 : Add N],
  Set.addCenter (M × N) = Set.addCenter M ×ˢ Set.addCenter N
Defined in
Mathlib.Algebra.Group.Center
Cited by
3 results in Mathlib
Foundations
Depth 10 from the axioms · uses propext, Quot.sound
Assumes
AddAdd
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

AddSubsemigroup.center_sum · cited by 0AddSubsemigroup.center_sumAddSubmonoid.center_sum · cited by 0AddSubmonoid.center_sumAddSubgroup.center_sum · cited by 0AddSubgroup.center_sumSet · cited by 53352SetSet.ext · cited by 2266Set.extSProd.sprod · cited by 1750SProd.sprodSet.mem_prod · cited by 32Set.mem_prodSet.addCenter · cited by 20Set.addCenteraddCommute_iff_eq · cited by 9addCommute_iff_eqisAddCentral_iff · cited by 5isAddCentral_iffSet.mem_addCenter_iff · cited by 4Set.mem_addCenter_iffSet.addCenter_prodCITED BYCITES

Cites8

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.