Theorems · Theorem · commutative algebra
WittVector.iterate_verschiebung_coeff
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (x : WittVector p R) (n k : ℕ),
((⇑WittVector.verschiebung)^[n] x).coeff (k + n) = x.coeff k- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- AddMonoidHomstatement · cited by 3,230
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- Nat.Primestatement and proof · cited by 2,059
- Nat.iteratestatement and proof · cited by 740
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- Function.iterate_succ_apply'proof · cited by 72
- WittVector.verschiebungstatement and proof · cited by 32
- WittVector.verschiebung_coeff_succproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.iterate_verschiebung_mul_coeffproof · cited by 0