Theorems · Theorem · group theory
Commute.units_inv_right
∀ {M : Type u_1} [inst : Monoid M] {a : M} {u : Mˣ}, Commute a ↑u → Commute a ↑u⁻¹- Defined in
- Mathlib.Algebra.Group.Commute.Units
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 11 from the axioms · uses no axioms
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
- Unitsstatement and proof · cited by 2,804
- Units.valstatement · cited by 1,966
- Commutestatement · cited by 639
- SemiconjBy.units_inv_rightproof · cited by 3
Cited by3
Results whose statement or proof uses this declaration.
- IsNilpotent.isUnit_add_left_of_commuteproof · cited by 4
- LinearMap.IsIdempotentElem.commute_iff_of_isUnitproof · cited by 1
- Set.units_inv_mem_centerproof · cited by 0