Theorems · Definition · group theory
AddUnits.addRight
{M : Type u_3} → [inst : AddMonoid M] → AddUnits M → Equiv.Perm MRight addition of an additive unit is a permutation of the underlying type.
- Defined in
- Mathlib.Algebra.Group.Units.Equiv
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 10 from the axioms · uses no axioms
- Assumes
- AddMonoid
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.
- AddMonoidstatement and proof · cited by 2,864
- Equiv.Permstatement · cited by 1,375
- AddUnitsstatement and proof · cited by 325
- AddUnits.valproof · cited by 248
- AddUnits.add_neg_cancel_rightproof · cited by 8
- AddUnits.neg_add_cancel_rightproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- Equiv.addRightproof · cited by 30
- AddUnits.addRight_symmstatement · cited by 0
- AddUnits.addRight_applystatement and proof · cited by 0
- AddUnits.addRight_bijectiveproof · cited by 0