Theorems · Theorem · commutative algebra
add_pow_expChar
∀ {R : Type u_1} [inst : CommSemiring R] (x y : R) (p : ℕ) [hR : ExpChar R p], (x + y) ^ p = x ^ p + y ^ p- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 94 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_expChar_of_commuteproof · cited by 5
Cited by6
Results whose statement or proof uses this declaration.
- frobeniusproof · cited by 80
- MvPolynomial.map_frobenius_expandproof · cited by 2
- Polynomial.map_frobenius_expandproof · cited by 2
- LucasLehmer.X.one_add_α_pow_qproof · cited by 1
- add_pow_charproof · cited by 1
- exists_isTranscendenceBasis_and_isSeparable_of_perfectFieldproof · cited by 0