Theorems · Theorem · commutative algebra
WittVector.iterate_verschiebung_iterate_frobenius
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] (x : WittVector p R) (n : ℕ),
(⇑WittVector.verschiebung)^[n] ((⇑WittVector.frobenius)^[n] x) = x * ↑p ^ n- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
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- CharPstatement and proof · cited by 478
- pow_succproof · cited by 374
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.mem_span_p_pow_iff_le_coeff_eq_zeroproof · cited by 1