Theorems · Theorem · commutative algebra
WittVector.pow_dvd_ghostComponent_of_dvd_coeff
∀ {p : ℕ} {R : Type u_1} [inst : CommRing R] [inst_1 : Fact (Nat.Prime p)] {x : WittVector p R} {n : ℕ},
(∀ i ≤ n, ↑p ∣ x.coeff i) → ↑p ^ (n + 1) ∣ (WittVector.ghostComponent n) x- Defined in
- Mathlib.RingTheory.WittVector.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 116 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- LE.le.transproof · cited by 3,151
- Factstatement and proof · cited by 2,726
- mul_commproof · cited by 2,262
- MvPolynomialproof · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- Finset.rangeproof · cited by 1,341
- pow_zeroproof · cited by 1,094
- Finsupp.singleproof · cited by 943
- map_powproof · cited by 503
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.ker_map_le_ker_mk_comp_ghostComponentproof · cited by 1