Theorems · Theorem · group theory
sub_one_zsmul
∀ {G : Type u_3} [inst : AddGroup G] (a : G) (n : ℤ), (n - 1) • a = n • a + -a- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext
- Assumes
- AddGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddGroupstatement and proof · cited by 4,410
- add_neg_cancel_rightproof · cited by 65
- add_one_zsmulproof · cited by 19
Cited by3
Results whose statement or proof uses this declaration.
- add_zsmulproof · cited by 21
- AddCommGroup.tfae_modEqproof · cited by 3
- zsmul_induction_rightproof · cited by 1