Theorems · Definition · commutative algebra
WittVector.verschiebungFun
{p : ℕ} → {R : Type u_1} → [CommRing R] → WittVector p R → WittVector p RverschiebungFun x shifts the coefficients of x up by one,
by inserting 0 as the 0th coefficient.
x.coeff i then becomes (verschiebungFun x).coeff (i + 1).
verschiebungFun is the underlying function of the additive monoid hom WittVector.verschiebung.
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 12 from the axioms · uses no axioms
- Assumes
- CommRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- WittVectorstatement and proof · cited by 227
- WittVector.coeffproof · cited by 138
Cited by7
Results whose statement or proof uses this declaration.
- WittVector.verschiebungproof · cited by 32
- WittVector.verschiebungFun_coeffstatement · cited by 2
- WittVector.verschiebungFun_coeff_zerostatement · cited by 2
- WittVector.ghostComponent_verschiebungFunstatement and proof · cited by 1
- WittVector.ghostComponent_zero_verschiebungFunstatement and proof · cited by 1
- WittVector.aeval_verschiebung_poly'statement and proof · cited by 1
- WittVector.verschiebungFun_coeff_succstatement · cited by 1