KummerVandiver.lean`

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Project sources: Pinned project documentation, Formal Conjectures paper, arXiv v1

1 declarations, 1 contain sorry, 0 declared as axioms

Kummer–Vandiver conjecture

Reference: Wikipedia

Imports (1)

FormalConjecturesUtil

theorem KummerVandiver.kummer_vandiver Kummer–Vandiver conjecture states that for every prime $p$, the class number of the maximal real subfield of $\mathbb{Q}(\zeta_p)$ is not divisible by $p$ sorry line 39 source
Source documentation
Kummer–Vandiver conjecture states that for every prime $p$, the class number of the maximal real subfield of $\mathbb{Q}(\zeta_p)$ is not divisible by $p$.

depends on sorry what this means
Statement uses: PNat, PNat.Prime, Not, Dvd.dvd, Nat, NumberField.classNumber, Subtype, CyclotomicField, Rat, Membership.mem, Subfield, NumberField.maximalRealSubfield
Proof uses: sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous, OfNat.ofNat
23 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem kummer_vandiver (p : ℕ+) (hp : p.Prime) :
    ¬ ↑p ∣ (classNumber (maximalRealSubfield (CyclotomicField p ℚ))) := by
…
```

FormalConjectures/Wikipedia/KummerVandiver.lean

Kummer–Vandiver conjecture

Kummer–Vandiver conjecture states that for every prime $p$, the class number of the maximal real subfield of $\mathbb{Q}(\zeta_p)$ is not divisible by $p$.

`FormalConjectures/Wikipedia/KummerVandiver.lean`