Theorems · Theorem · group theory
dvd_pow
∀ {α : Type u_1} [inst : Monoid α] {a b : α}, a ∣ b → ∀ {n : ℕ}, n ≠ 0 → a ∣ b ^ n- Defined in
- Mathlib.Algebra.Divisibility.Basic
- Cited by
- 8 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.
- Monoidstatement and proof · cited by 3,887
- pow_succ'proof · cited by 228
- Dvd.dvd.mul_rightproof · cited by 15
Cited by8
Results whose statement or proof uses this declaration.
- exists_prime_orderOf_dvd_cardproof · cited by 5
- Dvd.dvd.powproof · cited by 3
- pow_injective_of_not_isUnitproof · cited by 2
- GaloisField.finrankproof · cited by 2
- DivisorChain.exists_chain_of_prime_powproof · cited by 1
- dvd_c_of_prime_of_dvd_a_of_dvd_b_of_FLTproof · cited by 1
- X_pow_sub_C_irreducible_iff_of_prime_powproof · cited by 0
- Prime.dvd_pow_iff_dvdproof · cited by 0