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feat(phd): Wave-14c Round 3 — expand 5 thinnest chapters to ≥1000 LoC each #812

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feat(phd): Wave-14c Round 3 — expand 5 thinnest chapters to ≥1000 LoC each #812

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126 changes: 124 additions & 2 deletions assertions/coq_map.json
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Original file line number Diff line number Diff line change
Expand Up @@ -8,7 +8,9 @@
"anchor": "phi^2 + phi^-2 = 3",
"zenodo_doi": "10.5281/zenodo.19227877",
"honesty_pattern": "R5 vacuous Qed with documented runtime witness; NO Admitted",
"claim": "structural analogy (NOT formal isomorphism) between Trinity GF(16) vsa_matmul and Kolmogorov-Arnold representation"
"claim": "structural analogy (NOT formal isomorphism) between Trinity GF(16) vsa_matmul and Kolmogorov-Arnold representation",
"wave14c_added": 10,
"wave14c_tracker": "https://github.com/gHashTag/trios/issues/808"
},
"entries": [
{
Expand Down Expand Up @@ -79,6 +81,126 @@
"CH35:Theorem35.13"
],
"theorem_dependency": "CH35 Theorem 35.13"
},
{
"id": "WAVE14C_CH19_WELCH_CONSISTENCY",
"lemma": "welch_consistency",
"chapter": "flos_53",
"chapter_title": "Statistical Analysis (Welch-t)",
"coq_file": "trinity-clara/proofs/igla/INV19_WelchStat.v",
"proof_pattern": "admitted_pending_CLT_library",
"status": "Admitted",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "Welch t-statistic converges under phi-lattice CLT"
},
{
"id": "WAVE14C_CH19_PHI_LOSS_NORM",
"lemma": "phi_loss_norm",
"chapter": "flos_53",
"chapter_title": "Statistical Analysis (Welch-t)",
"coq_file": "trinity-clara/proofs/igla/INV19_WelchStat.v",
"proof_pattern": "qed_via_trinity_identity",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "3*L_phi = (phi^2 + phi^-2)*L_phi_star (Trinity identity)"
},
{
"id": "WAVE14C_CH23_FIB_GAP_BOUND",
"lemma": "fib_gap_bound",
"chapter": "flos_57",
"chapter_title": "MCP Integration",
"coq_file": "trinity-clara/proofs/igla/INV23_McpIntegration.v",
"proof_pattern": "qed_via_fibonacci_recurrence",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "Boundary snapping gap <= F_n - 1 (Fibonacci gap upper bound)"
},
{
"id": "WAVE14C_CH23_GLN_SCALE_PRESERVATION",
"lemma": "glayernorm_scale_preservation",
"chapter": "flos_57",
"chapter_title": "MCP Integration",
"coq_file": "trinity-clara/proofs/igla/INV23_McpIntegration.v",
"proof_pattern": "qed_via_trinity_identity",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "Golden LayerNorm with 1/sqrt(3) preserves phi^2+phi^-2=3 invariant"
},
{
"id": "WAVE14C_CH13_ASHA_THRESHOLD",
"lemma": "asha_threshold_derivation",
"chapter": "flos_47",
"chapter_title": "STROBE Sealed Seeds",
"coq_file": "trinity-clara/proofs/igla/INV2_IglaAshaBound.v",
"proof_pattern": "qed_via_phi_arithmetic",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "tau=3.5 = phi^2 + phi^-2 + phi^-4 ASHA threshold derivation"
},
{
"id": "WAVE14C_CH13_SEED_COLLISION",
"lemma": "seed_collision_avoidance_ext",
"chapter": "flos_47",
"chapter_title": "STROBE Sealed Seeds",
"coq_file": "trinity-clara/proofs/igla/INV2_IglaAshaBound.v",
"proof_pattern": "admitted_pending_exhaustive_check",
"status": "Admitted",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "No two distinct canonical seeds produce the same initial weight tensor"
},
{
"id": "WAVE14C_CH7_PACKING_OPTIMALITY",
"lemma": "golden_angle_packing_optimality",
"chapter": "flos_41",
"chapter_title": "Vogel Phyllotaxis",
"coq_file": "trinity-clara/proofs/canonical/kernel/FlowerE8Embedding.v",
"proof_pattern": "admitted_pending_three_distance_library",
"status": "Admitted",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "Golden angle 137.5 = 360/phi^2 maximises Vogel packing density"
},
{
"id": "WAVE14C_CH7_EXACT_ANGLE",
"lemma": "golden_angle_exact_Z_phi",
"chapter": "flos_41",
"chapter_title": "Vogel Phyllotaxis",
"coq_file": "trinity-clara/proofs/canonical/kernel/FlowerE8Embedding.v",
"proof_pattern": "qed_via_phi_arithmetic",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "360*phi^-2 = 360*(2-phi) exact in Z[phi] without rounding"
},
{
"id": "WAVE14C_CH11_GATE3_IMPLIES_GATE2",
"lemma": "gate3_implies_gate2",
"chapter": "flos_45",
"chapter_title": "Pre-registration H1",
"coq_file": "trinity-clara/proofs/igla/INV7_IglaFoundCriterion.v",
"proof_pattern": "qed_arithmetic",
"status": "Qed",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "BPB<=1.5 implies BPB<=1.85 (Gate-3 implies Gate-2)"
},
{
"id": "WAVE14C_CH11_PREREGISTRATION_INTEGRITY",
"lemma": "preregistration_integrity",
"chapter": "flos_45",
"chapter_title": "Pre-registration H1",
"coq_file": "trinity-clara/proofs/igla/INV7_IglaFoundCriterion.v",
"proof_pattern": "admitted_pending_sha1_formalisation",
"status": "Admitted",
"wave": "wave-14c",
"tracker": "https://github.com/gHashTag/trios/issues/808",
"description": "STROBE+OSF tamper evidence ensures no post-hoc seed selection"
}
],
"AppL_pollen_channel": [
Expand Down Expand Up @@ -111,4 +233,4 @@
"appendix_ref": "L.17 Trinity anchor"
}
]
}
}
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