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https://github.com/allaunthefox/SilverSight.git
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4bf4fa8afc
Two new files:
1. scripts/hn_spectral_database.py
Extends hn_hoffman_bound.py with multiple unit-distance graphs:
- Moser spindle (7v, χ=4)
- Golomb graph (10v, χ=4)
- Baselines: empty, path P10, cycle C5, complete K4
- de Grey 1581 + pruned subgraphs (with --full flag)
- Hoffman bound AND Welch-Wynn bound (Lovász theta lower bound)
- Spectral database: (n, e, λ_max, λ_min, Hoffman, Welch-Wynn, known χ, gap)
- Gap measures how much chromatic info is NOT in the spectrum
Requires numpy (and scipy for --full SDP, with fallback).
2. formal/CoreFormalism/CRTSidonN.lean
Generalizes sidon_preserved_mod from 2 moduli to n moduli.
Key new lemma: mod_eq_of_coprime_list (generalized CRT uniqueness)
- Proven by induction on moduli list using 2-moduli case as step
- Core sublemma: pairwise_coprime_product_dvd (if pairwise coprime
list and each divides d, product divides d)
- reflection_implies_sum_cong: reflection component → sum congruence
(same algebra as 2-moduli case, generalized)
- Main theorem: sidon_preserved_mod_n
STATUS: written, needs lake build verification (no toolchain on edit box)
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| .. | ||
| AutoProof.lean | ||
| Bind.lean | ||
| BraidBracket.lean | ||
| BraidCross.lean | ||
| BraidEigensolid.lean | ||
| BraidField.lean | ||
| BraidSpherionBridge.lean | ||
| BraidStateN.lean | ||
| BraidStrand.lean | ||
| ChentsovFinite.lean | ||
| ComplexProjectiveSpace.lean | ||
| CRTSidon.lean | ||
| CRTSidonN.lean | ||
| DynamicCanal.lean | ||
| E8Sidon.lean | ||
| EisensteinSeries.lean | ||
| FixedPoint.lean | ||
| GoormaghtighEnumeration.lean | ||
| HachimojiBase.lean | ||
| HachimojiBridging.lean | ||
| HachimojiCodec.lean | ||
| HachimojiLUT.lean | ||
| HachimojiManifoldAxiom.lean | ||
| HopfFibration.lean | ||
| InteractionGraphSidon.lean | ||
| LeanCopilotFill.lean | ||
| Q16_16Numerics.lean | ||
| SidonSets.lean | ||
| SieveLemmas.lean | ||
| StrandCapacityBound.lean | ||
| Tactics.lean | ||