Theorems · Theorem · commutative algebra
WittVector.exists_eq_pow_p_mul
∀ {p : ℕ} [hp : Fact (Nat.Prime p)] {k : Type u_1} [inst : CommRing k] [CharP k p] [PerfectRing k p]
(a : WittVector p k), a ≠ 0 → ∃ m b, b.coeff 0 ≠ 0 ∧ a = ↑p ^ m * b- Cited by
- 2 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactCommRingCharPPerfectRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites26
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
- mul_commproof · cited by 2,262
- Nat.Primestatement and proof · cited by 2,059
- Nat.iterateproof · cited by 740
- CharPstatement and proof · cited by 478
- MonoidWithZeroproof · cited by 456
- zero_powproof · cited by 361
- Fact.outproof · cited by 328
- WittVectorstatement and proof · cited by 227
- pow_ne_zeroproof · cited by 208
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.exists_frobenius_solution_fractionRingproof · cited by 1
- WittVector.exists_eq_pow_p_mul'proof · cited by 0