Theorems · Theorem · group theory
Set.addCenter_pi
∀ {ι : Type u_2} {A : ι → Type u_3} [inst : (i : ι) → Add (A i)],
Set.addCenter ((i : ι) → A i) = Set.univ.pi fun i => Set.addCenter (A i)- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 16 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.univstatement · cited by 3,945
- Set.extproof · cited by 2,266
- Function.updateproof · cited by 502
- Set.mem_univproof · cited by 416
- Set.pistatement · cited by 405
- Function.update_selfproof · cited by 201
- Set.addCenterstatement · cited by 20
- addCommute_iff_eqproof · cited by 9
- isAddCentral_iffproof · cited by 5
- Set.mem_piproof · cited by 5
- Set.mem_addCenter_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AddSubmonoid.center_piproof · cited by 0
- AddSubgroup.center_piproof · cited by 0