 125    - Reality IS deterministic (unique cost minimizer)
 126    - Observations APPEAR random (projection through finite resolution)
 127    - Both sides of the debate are correct, about different things -/
 128theorem determinism_resolution :
 129    (∀ x : ℝ, 0 < x → x ≠ 1 → 0 < LawOfExistence.defect x) ∧
 130    (∃! x : ℝ, 0 < x ∧ LawOfExistence.defect x = 0) := by
 131  constructor
 132  · intro x hx hne
 133    exact LawOfExistence.defect_pos_of_ne_one hx hne
 134  · exact ⟨1, ⟨by norm_num, LawOfExistence.defect_one⟩,
 135      fun y ⟨hy_pos, hy_zero⟩ =>
 136        (LawOfExistence.defect_zero_iff_one hy_pos).mp hy_zero⟩
 137
 138end Determinism
 139end Foundation
 140end IndisputableMonolith

papers checked against this theorem

No papers in the current corpus map onto this theorem yet.