Theorems · Theorem · commutative algebra
Perfection.pthRoot_eq_symm_frobeniusEquiv
∀ {R : Type u_1} [inst : CommSemiring R] {p : ℕ} [hp : Fact (Nat.Prime p)] [inst_1 : CharP R p],
Perfection.pthRoot R p = ↑(frobeniusEquiv (Perfection R p) p).symm- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFactCharP
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- RingHomstatement · cited by 10,189
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- RingEquivstatement · cited by 1,147
- RingHomClass.toRingHomstatement · cited by 746
- RingEquiv.symmstatement · cited by 567
- CharPstatement and proof · cited by 478
- RingHom.extproof · cited by 331
- Perfectionstatement and proof · cited by 84
- frobeniusEquivstatement and proof · cited by 48
Cited by2
Results whose statement or proof uses this declaration.
- Perfection.pthRoot_frobeniusproof · cited by 1
- Perfection.coe_pthRoot_eq_symm_frobeniusEquivproof · cited by 0