Theorems · Theorem · commutative algebra
WittVector.verschiebung_nonzero
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] {x : WittVector p R},
x ≠ 0 → ∃ n x', x'.coeff 0 ≠ 0 ∧ x = (⇑WittVector.verschiebung)^[n] x'- Defined in
- Mathlib.RingTheory.WittVector.Domain
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 145 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- AddMonoidHomstatement · cited by 3,230
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- Nat.iteratestatement · cited by 740
- WittVectorstatement and proof · cited by 227
- Nat.findproof · cited by 139
- WittVector.coeffstatement and proof · cited by 138
- Nat.find_specproof · cited by 74
- WittVector.verschiebungstatement · cited by 32
- Nat.find_minproof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.exists_eq_pow_p_mulproof · cited by 2
- WittVector.irreducibleproof · cited by 0