Theorems · Theorem · commutative algebra
sub_pow_expChar_pow_of_commute
∀ {R : Type u_1} [inst : Ring R] {x y : R} (p n : ℕ) [hR : ExpChar R p],
Commute x y → (x - y) ^ p ^ n = x ^ p ^ n - y ^ p ^ n- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 93 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Commutestatement and proof · cited by 639
- sub_add_cancelproof · cited by 344
- ExpCharstatement and proof · cited by 276
- Commute.sub_leftproof · cited by 9
- add_pow_expChar_pow_of_commuteproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- sub_pow_expChar_powproof · cited by 5
- minpoly.natSepDegree_eq_one_iff_eq_X_sub_C_powproof · cited by 1
- JacobsonNoether.exist_pow_eq_zero_of_leproof · cited by 1
- sub_pow_char_pow_of_commuteproof · cited by 1