Theorems · Theorem · commutative algebra
WittVector.frobeniusPoly_zmod
∀ (p : ℕ) [hp : Fact (Nat.Prime p)] (n : ℕ), (MvPolynomial.map (Int.castRingHom (ZMod p))) (WittVector.frobeniusPoly p n) = MvPolynomial.X n ^ p
- Defined in
- Mathlib.RingTheory.WittVector.Frobenius
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Fact
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites24
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
- RingHomstatement · cited by 10,189
- Finsuppstatement · cited by 5,255
- Factstatement and proof · cited by 2,726
- add_zeroproof · cited by 2,707
- MvPolynomialstatement and proof · cited by 2,140
- Nat.Primestatement and proof · cited by 2,059
- MulZeroClass.zero_mulproof · cited by 1,625
- map_mulproof · cited by 1,137
- ZModstatement and proof · cited by 1,024
- map_addproof · cited by 964
- MvPolynomial.Xstatement and proof · cited by 552
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.coeff_frobenius_charPproof · cited by 9