Theorems · Theorem · commutative algebra
Perfection.coe_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
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiringFactCharP
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Cites12
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
- 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
- RingEquiv.symmstatement · cited by 567
- CharPstatement and proof · cited by 478
- Perfectionstatement · cited by 84
- frobeniusEquivstatement · cited by 48
- Perfection.pthRootstatement · cited by 5
- Perfection.pthRoot_eq_symm_frobeniusEquivproof · cited by 2
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