Theorems · Theorem · commutative algebra
Perfection.pthRoot_frobenius
∀ {R : Type u_1} [inst : CommSemiring R] {p : ℕ} [hp : Fact (Nat.Prime p)] [inst_1 : CharP R p],
(Perfection.pthRoot R p).comp (frobenius (Perfection R p) p) = RingHom.id (Perfection R p)- Defined in
- Mathlib.RingTheory.Perfection
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 109 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
- RingHom.idstatement · cited by 18,349
- 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
- RingHom.compstatement and proof · cited by 899
- CharPstatement and proof · cited by 478
- RingHom.extproof · cited by 331
- Perfectionstatement and proof · cited by 84
- frobeniusstatement and proof · cited by 80
- Perfection.coeffproof · cited by 51
Cited by1
Results whose statement or proof uses this declaration.
- Perfection.frobenius_pthRootproof · cited by 0