Theorems · Theorem · commutative algebra
neg_one_pow_expChar_pow
∀ (R : Type u_1) [inst : Ring R] (p n : ℕ) [hR : ExpChar R p], (-1) ^ p ^ n = -1
- Defined in
- Mathlib.Algebra.CharP.Lemmas
- Cited by
- 2 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.
Cites10
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
- one_powproof · cited by 521
- zero_powproof · cited by 361
- ExpCharstatement and proof · cited by 276
- neg_add_cancelproof · cited by 256
- pow_ne_zeroproof · cited by 208
- eq_neg_iff_add_eq_zeroproof · cited by 32
- Commute.one_rightproof · cited by 22
- add_pow_expChar_pow_of_commuteproof · cited by 5
- expChar_ne_zeroproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- neg_one_pow_char_powproof · cited by 1
- minpoly.natSepDegree_eq_one_iff_eq_X_sub_C_powproof · cited by 1