Theorems · Theorem · group theory
npow_mul_assoc
∀ {M : Type u_1} [inst : MulOneClass M] [inst_1 : Pow M ℕ] [NatPowAssoc M] (k m n : ℕ) (x : M),
x ^ k * x ^ m * x ^ n = x ^ k * (x ^ m * x ^ n)- Defined in
- Mathlib.Algebra.Group.NatPowAssoc
- Cited by
- 2 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.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MulOneClassstatement and proof · cited by 1,018
- add_assocproof · cited by 746
- NatPowAssocstatement and proof · cited by 53
Cited by2
Results whose statement or proof uses this declaration.
- Polynomial.smeval_assoc_X_powproof · cited by 0
- Polynomial.smeval_X_pow_assocproof · cited by 0