Theorems · Theorem · group theory
npow_mul
∀ {M : Type u_1} [inst : MulOneClass M] [inst_1 : Pow M ℕ] [NatPowAssoc M] (x : M) (m n : ℕ), x ^ (m * n) = (x ^ m) ^ n- Defined in
- Mathlib.Algebra.Group.NatPowAssoc
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext
- Assumes
- MulOneClassPowNatPowAssoc
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- mul_oneproof · cited by 3,885
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulOneClassstatement and proof · cited by 1,018
- mul_addproof · cited by 413
- NatPowAssocstatement and proof · cited by 53
- npow_oneproof · cited by 15
- npow_zeroproof · cited by 14
- npow_addproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- npow_mul'proof · cited by 0