Theorems · Definition · commutative algebra
WittVector.verschiebung
{p : ℕ} → {R : Type u_1} → [inst : CommRing R] → [hp : Fact (Nat.Prime p)] → WittVector p R →+ WittVector p Rverschiebung x shifts the coefficients of x up by one, by inserting 0 as the 0th coefficient.
x.coeff i then becomes (verschiebung x).coeff (i + 1).
This is an additive monoid hom with underlying function verschiebung_fun.
- Cited by
- 32 results in Mathlib
- Foundations
- Depth 141 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- 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
- WittVectorstatement · cited by 227
- WittVector.verschiebungFunproof · cited by 6
Cited by32
Results whose statement or proof uses this declaration.
- WittVector.frobenius_verschiebungstatement and proof · cited by 7
- WittVector.verschiebung_coeff_succstatement · cited by 7
- WittVector.verschiebung_coeff_zerostatement · cited by 5
- WittVector.verschiebung_frobeniusstatement and proof · cited by 4
- WittVector.ghostComponent_verschiebungstatement · cited by 3
- WittVector.verschiebung_frobenius_commstatement and proof · cited by 3
- WittVector.eq_iterate_verschiebungstatement and proof · cited by 3
- WittVector.mul_charP_coeff_succproof · cited by 3
- WittVector.mul_charP_coeff_zeroproof · cited by 3
- WittVector.iterate_verschiebung_mulstatement and proof · cited by 2
- WittVector.verschiebung_nonzerostatement · cited by 2
- WittVector.coeff_p_powproof · cited by 2