Theorems · Theorem · group theory
zpow_neg_coe_of_pos
∀ {G : Type u_1} [inst : DivInvMonoid G] (a : G) {n : ℕ}, 0 < n → a ^ (-↑n) = (a ^ n)⁻¹- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses no axioms
- Assumes
- DivInvMonoid
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivInvMonoidstatement and proof · cited by 103
- zpow_negSuccproof · cited by 92
Cited by1
Results whose statement or proof uses this declaration.
- iteratedDerivWithin_cot_pi_mul_eq_mul_tsum_div_powproof · cited by 1