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formal statement (Lean)
76theorem defect_zero_implies_exists {x : ℝ} (hpos : 0 < x) (hdef : defect x = 0) :
77 Exists x := ⟨hpos, hdef⟩
proof body
Term-mode proof.
78
79/-- **Law of Existence (Biconditional)**: x exists ⟺ defect collapses. -/
depends on (8)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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Exists
in IndisputableMonolith.Foundation.CostAxioms
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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defect
in IndisputableMonolith.Foundation.LawOfExistence
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Exists
in IndisputableMonolith.Foundation.LawOfExistence
decl_use
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of
in IndisputableMonolith.Foundation.PhiForcingDerived
decl_use
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of
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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of
in IndisputableMonolith.Information.PhysicsComplexityStructure
decl_use