Theorems · Theorem · group theory
zpow_ofNat
∀ {G : Type u_1} [inst : DivInvMonoid G] (a : G) (n : ℕ), a ^ OfNat.ofNat n = a ^ OfNat.ofNat n- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 144 results in Mathlib
- Foundations
- Depth 12 from the axioms, rests on 69 definitions · 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.
- zpow_natCastproof · cited by 271
- DivInvMonoidstatement and proof · cited by 103
Cited by144
Results whose statement or proof uses this declaration.
- zpow_negproof · cited by 198
- zpow_oneproof · cited by 41
- zpow_addproof · cited by 40
- zpow_add₀proof · cited by 30
- zpow_add_oneproof · cited by 18
- Int.cast_negOnePowproof · cited by 10
- AnalyticAt.meromorphicTrailingCoeffAt_of_ne_zeroproof · cited by 9
- zpow_add_one₀proof · cited by 9
- meromorphicOrderAt_constproof · cited by 7
- Matrix.zpow_neg_natCastproof · cited by 6
- Function.FactorizedRational.mulSupportproof · cited by 6
- meromorphicNFAt_toMeromorphicNFAtproof · cited by 5