Theorems · Theorem · commutative algebra
sub_pow_expChar_pow
∀ {R : Type u_1} [inst : CommRing R] (x y : R) (n : ℕ) {p : ℕ} [hR : ExpChar R p],
(x - y) ^ p ^ n = x ^ p ^ n - y ^ p ^ n- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 94 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- CommRingstatement and proof · cited by 17,173
- ExpCharstatement and proof · cited by 276
- Commute.allproof · cited by 119
- sub_pow_expChar_pow_of_commuteproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- PerfectRing.liftAux_applyproof · cited by 2
- Polynomial.rootMultiplicity_expand_powproof · cited by 2
- Algebra.FormallyUnramified.range_eq_top_of_isPurelyInseparableproof · cited by 1
- sub_mem_pNilradical_iff_pow_expChar_pow_eqproof · cited by 1
- sub_pow_char_powproof · cited by 0