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formal statement (Lean)
90theorem continuous_composition_not_enough :
91 ¬ ∃ c : ℝ, ∀ a b : ℝ, 0 < a → 0 < b →
92 quarticCombiner a b = 2 * a + 2 * b + c * a * b :=
proof body
Term-mode proof.
93 quarticCombiner_not_rcl_family
94
95/-- Searchable boundary theorem: analytic composition is not enough to force
96degree-two RCL form. -/
depends on (7)
Lean names referenced from this declaration's body.
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quarticCombiner
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation.QuarticLogCounterexample
decl_use
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quarticCombiner_not_rcl_family
in IndisputableMonolith.Foundation.LogicAsFunctionalEquation.QuarticLogCounterexample
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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two
in IndisputableMonolith.QFT.SpinStatistics
decl_use