Theorems · Theorem · group theory
Set.add_mem_addCenter
∀ {M : Type u_1} [inst : Add M] {z₁ z₂ : M}, z₁ ∈ Set.addCenter M → z₂ ∈ Set.addCenter M → z₁ + z₂ ∈ Set.addCenter M- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 1 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.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.addCenterstatement and proof · cited by 20
- addCommute_iff_eqproof · cited by 9
- isAddCentral_iffproof · cited by 5
- Set.mem_addCenter_iffproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- AddSubsemigroup.centerproof · cited by 19
- Set.sub_mem_addCenterproof · cited by 0