Theorems · Theorem · group theory
zpow_natCast
∀ {G : Type u_1} [inst : DivInvMonoid G] (a : G) (n : ℕ), a ^ ↑n = a ^ n- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 271 results in Mathlib
- Foundations
- Depth 11 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.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DivInvMonoidstatement and proof · cited by 103
Cited by271
Results whose statement or proof uses this declaration.
- zpow_negproof · cited by 198
- zpow_ofNatproof · cited by 144
- Real.rpow_natCastproof · cited by 93
- zpow_negSuccproof · cited by 92
- one_zpowproof · cited by 44
- meromorphicOrderAt_eq_int_iffproof · cited by 31
- zpow_ne_zeroproof · cited by 30
- zpow_mulproof · cited by 27
- zpow_posproof · cited by 22
- zero_zpowproof · cited by 19
- zpow_add_oneproof · cited by 18
- MeromorphicAt.zpowproof · cited by 14
Showing the 200 most cited of 271.