Theorems · Theorem · field theory
PerfectClosure.r_iff
∀ (K : Type u) [inst : CommRing K] (p : ℕ) [inst_1 : Fact (Nat.Prime p)] [inst_2 : CharP K p] (a a_1 : ℕ × K), PerfectClosure.R K p a a_1 ↔ ∃ n x, a = (n, x) ∧ a_1 = (n + 1, (frobenius K p) x)
- Defined in
- Mathlib.FieldTheory.PerfectClosure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 99 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- Factstatement and proof · cited by 2,726
- Nat.Primestatement and proof · cited by 2,059
- CharPstatement and proof · cited by 478
- frobeniusstatement and proof · cited by 80
- PerfectClosure.Rstatement and proof · cited by 8
- PerfectClosure.R.casesOnproof · cited by 2
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.