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theorem proved term proof

exists_implies_defect_zero

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formal statement (Lean)

  72theorem exists_implies_defect_zero {x : ℝ} (h : Exists x) : defect x = 0 :=

proof body

Term-mode proof.

  73  h.defect_zero
  74
  75/-- **Law of Existence (Backward)**: Zero defect (with x > 0) implies existence. -/

depends on (8)

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