Theorems · Theorem · group theory
List.prod_replicate
∀ {M : Type u_2} [inst : Monoid M] (n : ℕ) (a : M), (List.replicate n a).prod = a ^ n- Cited by
- 29 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- Monoid
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.
Cited by29
Results whose statement or proof uses this declaration.
- Multiset.prod_replicateproof · cited by 40
- NormedSpace.expSeries_apply_eqproof · cited by 12
- exists_prime_orderOf_dvd_cardproof · cited by 5
- CoxeterSystem.lengthParity_eq_ofAdd_lengthproof · cited by 5
- FormalMultilinearSeries.ofScalars_apply_eqproof · cited by 4
- ContinuousMultilinearMap.norm_mkPiAlgebraFinproof · cited by 3
- Equiv.Perm.sign_prod_list_swapproof · cited by 3
- hasFPowerSeriesOnBall_inverse_one_subproof · cited by 3
- Set.mem_powproof · cited by 3
- List.prod_le_pow_cardproof · cited by 2
- Nat.Prime.primeFactorsList_powproof · cited by 2
- FormalMultilinearSeries.ofScalars_eq_zeroproof · cited by 2