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formal statement (Lean)
102theorem no_exact_phi_computation (q : ℚ) : (q : ℝ) ≠ phi := by
proof body
Term-mode proof.
103 intro heq
104 apply phi_irrational
105 exact Set.mem_range.mpr ⟨q, heq⟩
106
107/-! ## III. Landauer Bound: Energy Cost of Computation -/
108
109/-- Boltzmann constant (in J/K). -/
used by (4)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (11)
Lean names referenced from this declaration's body.
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of
in IndisputableMonolith.Astrophysics.NucleosynthesisTiers
decl_use
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K
in IndisputableMonolith.Constants
decl_use
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phi_irrational
in IndisputableMonolith.Constants
decl_use
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K
in IndisputableMonolith.Constants.LambdaRecDerivation
decl_use
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Energy
in IndisputableMonolith.Constants.RSNativeUnits
decl_use
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of
in IndisputableMonolith.Foundation.DAlembert.LedgerFactorization
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
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Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
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constant
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use