Theorems · Theorem · commutative algebra
add_pow_eq_mul_pow_add_pow_div_expChar_of_commute
∀ {R : Type u_1} [inst : Semiring R] {x y : R} (p n : ℕ) [hR : ExpChar R p],
Commute x y → (x + y) ^ n = (x + y) ^ (n % p) * (x ^ p + y ^ p) ^ (n / p)- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Cited by2
Results whose statement or proof uses this declaration.
- add_pow_eq_mul_pow_add_pow_div_expCharproof · cited by 1
- add_pow_eq_mul_pow_add_pow_div_char_of_commuteproof · cited by 0