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