Theorems · Theorem · ring theory
sub_dvd_pow_sub_pow
∀ {R : Type u_1} [inst : CommRing R] (x y : R) (n : ℕ), x - y ∣ x ^ n - y ^ n- Defined in
- Mathlib.Algebra.Ring.GeomSum
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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.
- CommRingstatement and proof · cited by 17,173
- Commute.allproof · cited by 119
- Commute.sub_dvd_pow_sub_powproof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- pow_ne_of_irreducible_X_pow_sub_Cproof · cited by 4
- Nat.sub_dvd_pow_sub_powproof · cited by 3
- PowerSeries.subst_substInv_rightproof · cited by 2
- sub_one_dvd_natCast_of_pow_eq_oneproof · cited by 1