Theorems · Theorem · commutative algebra
WittVector.frobenius_bijective
∀ (p : ℕ) (R : Type u_1) [hp : Fact (Nat.Prime p)] [inst : CommRing R] [CharP R p] [PerfectRing R p], Function.Bijective ⇑WittVector.frobenius
- Defined in
- Mathlib.RingTheory.WittVector.Frobenius
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- FactCommRingCharPPerfectRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Function.Bijectivestatement · cited by 863
- CharPstatement and proof · cited by 478
- WittVectorstatement · cited by 227
- PerfectRingstatement and proof · cited by 154
- WittVector.frobeniusstatement · cited by 22
- RingEquiv.bijectiveproof · cited by 22
- WittVector.frobeniusEquivproof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- WittVector.exists_eq_pow_p_mulproof · cited by 2
- WittVector.eq_zero_of_p_mul_eq_zeroproof · cited by 0