Theorems · Theorem · group theory
pow_mul
∀ {M : Type u_2} [inst : Monoid M] (a : M) (m n : ℕ), a ^ (m * n) = (a ^ m) ^ n- Defined in
- Mathlib.Algebra.Group.Defs
- Cited by
- 210 results in Mathlib
- Foundations
- Depth 13 from the axioms, rests on 64 definitions · uses no axioms
- Assumes
- Monoid
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.
- Monoidstatement and proof · cited by 3,887
Cited by210
Results whose statement or proof uses this declaration.
- Even.neg_powproof · cited by 99
- zpow_mulproof · cited by 27
- pow_mul'proof · cited by 20
- Odd.neg_powproof · cited by 14
- pow_mod_orderOfproof · cited by 12
- Polynomial.resultant_commproof · cited by 11
- pow_right_commproof · cited by 9
- IsPrimitiveRoot.pow_of_coprimeproof · cited by 8
- Ideal.radical_isRadicalproof · cited by 7
- ZMod.χ₄_eq_neg_one_powproof · cited by 5
- IsPrimitiveRoot.pow_eq_one_iff_dvdproof · cited by 5
- Int.cast_negOnePow_natCastproof · cited by 5
Showing the 200 most cited of 210.