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formal statement (Lean)
83theorem bandwidth_denom_pos : 0 < 4 * planckArea * k_R * eightTickCadence := by
proof body
Term-mode proof.
84 apply mul_pos
85 apply mul_pos
86 apply mul_pos
87 · linarith [planckArea_pos]
88 · exact planckArea_pos
89 · exact k_R_pos
90 · exact eightTickCadence_pos
91
92/-- Recognition bandwidth is positive for positive area. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
-
bandwidth_monotone
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
-
bandwidth_pos
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
depends on (16)
Lean names referenced from this declaration's body.
-
k_R
in IndisputableMonolith.Constants.BoltzmannConstant
decl_use
-
k_R_pos
in IndisputableMonolith.Constants.BoltzmannConstant
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
for
in IndisputableMonolith.Foundation.UniversalForcingSelfReference
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
k_R
in IndisputableMonolith.Gravity.UltramassiveBH
decl_use
-
k_R_pos
in IndisputableMonolith.Gravity.UltramassiveBH
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
planckArea
in IndisputableMonolith.Quantum.BekensteinHawking
decl_use
-
planckArea
in IndisputableMonolith.Quantum.EntanglementEntropy
decl_use
-
planckArea
in IndisputableMonolith.Quantum.HolographicBound
decl_use
-
bandwidth
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
-
eightTickCadence
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
-
eightTickCadence_pos
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use
-
planckArea_pos
in IndisputableMonolith.Unification.RecognitionBandwidth
decl_use