Theorems · Theorem · number theory
Odd.pow_add_pow_eq_zero
∀ {α : Type u_2} [inst : Semiring α] {a b : α} {n : ℕ} [IsCancelAdd α], Odd n → a + b = 0 → a ^ n + b ^ n = 0- Defined in
- Mathlib.Algebra.Ring.Parity
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext
- Assumes
- SemiringIsCancelAdd
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- MulZeroClass.zero_mulproof · cited by 1,625
- add_commproof · cited by 1,535
- pow_oneproof · cited by 894
- mul_addproof · cited by 413
- Oddstatement and proof · cited by 364
- add_mulproof · cited by 363
- pow_addproof · cited by 315
- sqproof · cited by 280
- add_right_commproof · cited by 85
Cited by1
Results whose statement or proof uses this declaration.
- Odd.strictMono_powproof · cited by 7