Theorems · Theorem · group theory
zpow_sub_one
∀ {G : Type u_3} [inst : Group G] (a : G) (n : ℤ), a ^ (n - 1) = a ^ n * a⁻¹- Defined in
- Mathlib.Algebra.Group.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 29 from the axioms · uses propext
- Assumes
- Group
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.
- Groupstatement and proof · cited by 6,238
- mul_inv_cancel_rightproof · cited by 53
- zpow_add_oneproof · cited by 18
Cited by3
Results whose statement or proof uses this declaration.
- zpow_addproof · cited by 40
- zpow_induction_rightproof · cited by 1
- LinearEquiv.baseChange_zpowproof · cited by 0