theorem
proved
physical_light_not_first
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IndisputableMonolith.Foundation.PreTemporalForcingOrder on GitHub at line 143.
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140 decide
141
142/-- Physical light is not first in the forcing order. It requires spacetime. -/
143theorem physical_light_not_first :
144 ¬∀ s : Stage, s ≠ PhysicalLight → Before PhysicalLight s := by
145 intro h
146 have hbad := h Stage.distinction (by decide)
147 norm_num [Before, PhysicalLight, rank] at hbad
148
149/-! ## Observer: two senses -/
150
151/-- Primitive observer-like structure: a recognizer/interface. This is forced
152as soon as recognition, not merely bare abstract distinction, is in play. -/
153def PrimitiveObserver : Stage := Stage.recognitionInterface
154
155/-- Embodied observer: a physical subsystem with finite resolution, downstream
156of spacetime and physical light. -/
157def PhysicalObserver : Stage := Stage.embodiedObserver
158
159theorem primitive_observer_before_time :
160 Before PrimitiveObserver Stage.timeTick := by
161 decide
162
163theorem primitive_observer_before_physical_light :
164 Before PrimitiveObserver PhysicalLight := by
165 decide
166
167theorem physical_observer_after_physical_light :
168 Before PhysicalLight PhysicalObserver := by
169 decide
170
171/-! ## Certificate -/
172
173structure PreTemporalOrderCert where