recognition_light_before_spacetime
plain-language theorem explainer
Recognition-light precedes spacetime in the pre-temporal forcing order. Derivations that separate the primitive distinction act from the emergence of geometry reference this placement. The proof succeeds by direct evaluation of the decidable rank comparison.
Claim. Let $R$ be the recognition-light stage and $S$ the spacetime stage. Then the forcing priority satisfies $rank(R) < rank(S)$.
background
The Pre-Temporal Forcing Order module records logical prerequisites that exist before physical time is introduced. Before(a, b) holds precisely when the integer dependency rank of a is strictly smaller than that of b, with a built-in Decidable instance via Nat.decLt. RecognitionLight is the recognitionInterface stage, the primitive revealing act that makes distinction available prior to time or spacetime.
proof idea
One-line wrapper that applies the decidable instance for Before. The decide tactic evaluates the concrete rank inequality between RecognitionLight and spacetime.
why it matters
The result populates the PreTemporalOrderCert record alongside recognition_light_before_time and physical_light_after_spacetime. It sharpens the module distinction between recognition-light (pre-temporal) and physical light (post-spacetime boundary). The placement supports the overall forcing chain that reaches T8 (D = 3) once spacetime is available.
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