Theorems · Theorem · commutative algebra
sub_pow_expChar_of_commute
∀ {R : Type u_1} [inst : Ring R] {x y : R} (p : ℕ) [hR : ExpChar R p], Commute x y → (x - y) ^ p = x ^ p - y ^ p- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 3 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.
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_of_commuteproof · cited by 5
Cited by3
Results whose statement or proof uses this declaration.
- sub_pow_expCharproof · cited by 2
- sub_pow_eq_mul_pow_sub_pow_div_expChar_of_commuteproof · cited by 2
- sub_pow_char_of_commuteproof · cited by 1