Theorems · Theorem · group theory
Set.div_mem_center
∀ {M : Type u_1} [inst : DivisionMonoid M] {a b : M}, a ∈ Set.center M → b ∈ Set.center M → a / b ∈ Set.center M- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 17 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- div_eq_mul_invproof · cited by 715
- DivisionMonoidstatement and proof · cited by 201
- Set.centerstatement and proof · cited by 49
- Set.mul_mem_centerproof · cited by 1
- Set.inv_mem_centerproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.