Theorems · Theorem · group theory
Set.subset_center_units
∀ {M : Type u_1} [inst : Monoid M], Units.val ⁻¹' Set.center M ⊆ Set.center Mˣ- Defined in
- Mathlib.Algebra.Group.Center
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- Monoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.preimagestatement and proof · cited by 4,946
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement and proof · cited by 1,966
- Set.centerstatement and proof · cited by 49
- IsMulCentral.commproof · cited by 26
- Units.val_mulproof · cited by 22
- Units.val_injproof · cited by 20
- Semigroup.mem_center_iffproof · cited by 12
Cited by1
Results whose statement or proof uses this declaration.
- Set.center_units_eqproof · cited by 0