452.lean`

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L4DEL: Lean4 Domain Explanation Language

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

2 declarations, 1 contain sorry, 0 declared as axioms

Erdős Problem 452

Reference: erdosproblems.com/452

Imports (1)

FormalConjecturesUtil

def Erdos452.largeOmegaIntervalLength The greatest length of an interval in $[x,2x]$ on which $\omega(n) > \log\log n$ everywhere line 34 source
Source documentation
The greatest length of an interval in $[x,2x]$ on which $\omega(n) > \log\log n$ everywhere.

standard axioms: Classical.choice, Quot.sound, propext what this means
Statement uses: Nat
Proof uses: Nat.findGreatest, Exists, And, LE.le, HAdd.hAdd, HMul.hMul, OfNat.ofNat, Membership.mem, Finset, Finset.Ico, LT.lt, Real, Real.log, ArithmeticFunction, ArithmeticFunction.cardDistinctFactors, Classical.propDecidable
17 instances, coercions and auxiliary constants left out.

Tactic trace: 2 steps
Open to load the checked before-and-after goal states.
```
noncomputable def largeOmegaIntervalLength (x : ℕ) : ℕ := by
…
```
theorem Erdos452.erdos_452 Determine the largest length of an interval in $[x,2x]$ on which $\omega(n) > \log\log n$ everywhere sorry line 45 source
Source documentation
Determine the largest length of an interval in $[x,2x]$ on which $\omega(n) > \log\log n$ everywhere.

depends on sorry what this means
Statement uses: Eq, Nat, Erdos452.largeOmegaIntervalLength, sorryAx, Lean.Name, Bool.false, Lean.Name.num, Lean.Name.str, Lean.Name.anonymous, OfNat.ofNat
2 instances, coercions and auxiliary constants left out.

Tactic trace: 1 steps
Open to load the checked before-and-after goal states.
```
theorem erdos_452 : largeOmegaIntervalLength = answer(sorry) := by
…
```
Mentions: Erdos452.largeOmegaIntervalLength