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def definition def or abbrev

possibility_status

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formal statement (Lean)

 416def possibility_status : String :=

proof body

Definition body.

 417  "╔══════════════════════════════════════════════════════════════╗\n" ++
 418  "║           GRAMMAR OF POSSIBILITY / RS MODAL LOGIC            ║\n" ++
 419  "╠══════════════════════════════════════════════════════════════╣\n" ++
 420  "║  CORE CONCEPTS:                                              ║\n" ++
 421  "║  • Possibility P(c) = finite-cost reachable configs          ║\n" ++
 422  "║  • Actualization A = J-minimizing selection                  ║\n" ++
 423  "║  • J_stasis = cost of staying the same                       ║\n" ++
 424  "║  • J_change = cost of transition                             ║\n" ++
 425  "╠══════════════════════════════════════════════════════════════╣\n" ++
 426  "║  MODAL OPERATORS:                                            ║\n" ++
 427  "║  • □p (Necessary) = holds in all possible futures            ║\n" ++
 428  "║  • ◇p (Possible) = holds in some possible future             ║\n" ++
 429  "║  • Duality: □p ⟺ ¬◇¬p                                        ║\n" ++
 430  "╠══════════════════════════════════════════════════════════════╣\n" ++
 431  "║  KEY THEOREMS:                                               ║\n" ++
 432  "║  • identity_prefers_stasis: x=1 is unique fixed point        ║\n" ++
 433  "║  • identity_always_possible: 1 ∈ P(c) for all c              ║\n" ++
 434  "║  • actualize_decreases_cost: A drives toward identity        ║\n" ++
 435  "║  • why_anything_happens: stasis costs more for x ≠ 1         ║\n" ++
 436  "╠══════════════════════════════════════════════════════════════╣\n" ++
 437  "║  STATUS: FOUNDATION COMPLETE                                 ║\n" ++
 438  "╚══════════════════════════════════════════════════════════════╝"
 439
 440#check possibility_status
 441
 442end IndisputableMonolith.Modal

depends on (33)

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