Theorems · Theorem · commutative algebra
WittVector.verschiebung_coeff_succ
∀ {p : ℕ} {R : Type u_1} [inst : CommRing R] [hp : Fact (Nat.Prime p)] (x : WittVector p R) (n : ℕ),
(WittVector.verschiebung x).coeff n.succ = x.coeff n- Cited by
- 7 results in Mathlib
- Foundations
- Depth 142 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- 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 and proof · cited by 227
- WittVector.coeffstatement · cited by 138
- WittVector.verschiebungstatement · cited by 32
Cited by7
Results whose statement or proof uses this declaration.
- WittVector.verschiebung_frobeniusproof · cited by 4
- WittVector.mul_charP_coeff_succproof · cited by 3
- WittVector.coeff_p_powproof · cited by 2
- WittVector.coeff_p_pow_eq_zeroproof · cited by 1
- WittVector.verschiebung_injectiveproof · cited by 1
- WittVector.iterate_verschiebung_coeffproof · cited by 1
- WittVector.iterate_verschiebung_coeff_eq_zeroproof · cited by 0