Theorems · Theorem · commutative algebra
WittVector.verschiebung_mul_frobenius
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] (x y : WittVector p R),
WittVector.verschiebung (x * WittVector.frobenius y) = WittVector.verschiebung x * yThe “projection formula” for Frobenius and Verschiebung.
- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 143 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
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
- RingHomstatement · cited by 10,189
- AddMonoidHomstatement · cited by 3,230
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- mul_assocproof · cited by 1,667
- MulZeroClass.zero_mulproof · cited by 1,625
- WittVectorstatement and proof · cited by 227
- RingHom.map_mulproof · cited by 45
- WittVector.verschiebungstatement and proof · cited by 32
- WittVector.frobeniusstatement and proof · cited by 22
Cited by1
Results whose statement or proof uses this declaration.
- WittVector.iterate_verschiebung_mul_leftproof · cited by 1