Theorems · Theorem · commutative algebra
add_pow_eq_mul_pow_add_pow_div_expChar
∀ {R : Type u_1} [inst : CommSemiring R] (x y : R) (p n : ℕ) [hR : ExpChar R p],
(x + y) ^ n = (x + y) ^ (n % p) * (x ^ p + y ^ p) ^ (n / p)- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringExpChar
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- ExpCharstatement and proof · cited by 276
- Commute.allproof · cited by 119
- add_pow_eq_mul_pow_add_pow_div_expChar_of_commuteproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- add_pow_eq_mul_pow_add_pow_div_charproof · cited by 1