Theorems · Theorem · commutative algebra
WittVector.ghostComponent_frobenius
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (n : ℕ) (x : WittVector p R),
(WittVector.ghostComponent n) (WittVector.frobenius x) = (WittVector.ghostComponent (n + 1)) x- Defined in
- Mathlib.RingTheory.WittVector.Frobenius
- Cited by
- 2 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.
Cites9
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
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- WittVectorstatement and proof · cited by 227
- WittVector.frobeniusstatement · cited by 22
- WittVector.ghostComponentstatement · cited by 20
- WittVector.ghostComponent_frobeniusFunproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.frobenius_verschiebungproof · cited by 7
- WittVector.verschiebung_mul_frobeniusproof · cited by 1