Theorems · Theorem · commutative algebra
WittVector.coeff_p_pow_eq_zero
∀ (p : ℕ) (R : Type u_1) [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] {i j : ℕ},
j ≠ i → (↑p ^ i).coeff j = 0- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- pow_zeroproof · cited by 1,094
- CharPstatement and proof · cited by 478
- pow_succproof · cited by 374
- zero_powproof · cited by 361
- Fact.outproof · cited by 328
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- Nat.Prime.ne_zeroproof · cited by 109
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.coeff_pproof · cited by 2