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ugp-lean Premise Ledger

Every premise that is not definitional truth. Tag: definition | lemma | conjecture | imported | citation.

Definitions (semantic)

ID Premise Where Used Tag
D1 SemanticFloor t := t.a ∈ {1,5,9} ∧ t.b ≥ 40 ∧ t.c ≥ 800 SievePredicates, TheoremA definition
D2 QuarterLockRigidAt n t := ∃ b₂ q₂, isMirrorDualSurvivorAt n b₂ q₂ ∧ (t.b, t.c) from that pair SievePredicates definition
D3 RelationalAnchorAt n t := ∃ b₂ q₂, isMirrorDualSurvivorAt n b₂ q₂ ∧ t.b = b₁ ∧ c ∈ {c₁, c₂} SievePredicates definition
D4 UnifiedAdmissibleAt n := SemanticFloor ∧ QuarterLockRigidAt n ∧ RelationalAnchorAt n RSUC definition
D4a QuarterLockRigid := QuarterLockRigidAt 10, RelationalAnchor := t.b=73 ∧ t.c∈{823,2137}, UnifiedAdmissible := UnifiedAdmissibleAt 10 SievePredicates definition
D5 MirrorEquiv t₁ t₂ := same (a,b), c ∈ {823, 2137} swapped TripleDefs, Disconfirmation definition

Lemmas (proved in ugp-lean)

ID Premise Module Tag
L1 ridgeSurvivors_10: at n=10, survivors = {(24,42), (42,24)} Compute.Sieve lemma
L1a isMirrorDualSurvivorAt_iff: Prop ↔ Finset membership at any n Compute.Sieve lemma
L2 theoremA_general: UnifiedAdmissibleAt n t → t ∈ CandidatesAt n Classification.TheoremA lemma
L2a theoremA: n=10 corollary Classification.TheoremA lemma
L5a RelationalAnchorAt_10_iff: RelationalAnchorAt 10 t ↔ RelationalAnchor t Compute.DecidablePredicates lemma
L3 theoremB: Residual = Candidates Classification.TheoremB lemma
L4 mdl_selects_LeptonSeed: Lepton Seed is lex-min in Residual Classification.TheoremB lemma
L5 decUnifiedAdmissible_correct: decidable version matches Prop Compute.DecidablePredicates lemma

Imported (Mathlib / external)

ID Premise Source Tag
I1 Nat.Prime, Nat.fib Mathlib imported
I2 Finset, divisorsAntidiagonal Mathlib imported

External citations (not formalized)

ID Claim Source Tag
C1 Rule 110 is Turing-universal (Cook 2004) Universality.Rule110 citation
C2 Continued-fraction derivation of Fibonacci lift F_g UGP Paper Updates citation
C3 δ_UGP formula, b₁=73 unique (JMP Math Foundations) Phase4.DeltaUGP citation
C4 g₁², g₂², g₃² from invariants; SU(2) harmonic mean, SU(3) Vandermonde Phase4.GaugeCouplings citation

Non-negotiable credibility set

  • RSUC proof path (TheoremA + TheoremB) has 0 sorry, 0 custom axioms
  • Core/ does not import Compute/ (non-circularity)
  • All sieve predicates defined without referencing the answer