Theorems · Theorem · ring theory
Odd.add_dvd_pow_add_pow
∀ {R : Type u_1} [inst : CommRing R] (x y : R) {n : ℕ}, Odd n → x + y ∣ x ^ n + y ^ n- Defined in
- Mathlib.Algebra.Ring.GeomSum
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 71 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.
Cites8
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
- Finset.sumproof · cited by 5,195
- Finset.rangeproof · cited by 1,341
- Oddstatement and proof · cited by 364
- sub_neg_eq_addproof · cited by 264
- Dvd.intro_leftproof · cited by 20
- Odd.neg_powproof · cited by 14
- geom_sum₂_mulproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- Odd.nat_add_dvd_pow_add_powproof · cited by 1