Theorems · Theorem · commutative algebra
WittVector.eq_iterate_verschiebung
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] {x : WittVector p R} {n : ℕ},
(∀ i < n, x.coeff i = 0) → x = (⇑WittVector.verschiebung)^[n] (x.shift n)- Defined in
- Mathlib.RingTheory.WittVector.Domain
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 144 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- zero_addproof · cited by 2,366
- Nat.Primestatement and proof · cited by 2,059
- Nat.iteratestatement and proof · cited by 740
- LT.lt.transproof · cited by 370
- WittVectorstatement and proof · cited by 227
- WittVector.coeffstatement and proof · cited by 138
- WittVector.verschiebungstatement and proof · cited by 32
- WittVector.shiftstatement and proof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.verschiebung_nonzeroproof · cited by 2
- WittVector.mem_span_p_pow_iff_le_coeff_eq_zeroproof · cited by 1
- WittVector.mem_span_p_iff_coeff_zero_eq_zeroproof · cited by 0