Theorems · Theorem · commutative algebra
WittVector.verschiebung_frobenius_comm
∀ {p : ℕ} {R : Type u_1} [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p],
Function.Commute ⇑WittVector.verschiebung ⇑WittVector.frobenius- Defined in
- Mathlib.RingTheory.WittVector.Identities
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 146 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- CharPstatement and proof · cited by 478
- WittVectorstatement and proof · cited by 227
- Function.Commutestatement · cited by 54
- WittVector.verschiebungstatement and proof · cited by 32
- WittVector.frobeniusstatement and proof · cited by 22
- WittVector.frobenius_verschiebungproof · cited by 7
Cited by3
Results whose statement or proof uses this declaration.
- WittVector.iterate_verschiebung_mulproof · cited by 2
- WittVector.exists_eq_pow_p_mulproof · cited by 2
- WittVector.iterate_verschiebung_iterate_frobeniusproof · cited by 1