recognition /
Physics /
Physics.Superfluidity /
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formal statement (Lean)
127 theorem superfluid_fraction_at_lambda (Tlam : ℝ) (hTlam : 0 < Tlam) :
128 superfluid_fraction Tlam Tlam = 0 := by
proof body
Term-mode proof.
129 unfold superfluid_fraction
130 simp [div_self (ne_of_gt hTlam), Real.one_rpow]
131
132 /-- For 0 < T < Tlam, fraction is strictly between 0 and 1. -/
depends on (8)
Lean names referenced from this declaration's body.
T
in IndisputableMonolith.Foundation.Breath1024
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
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T
in IndisputableMonolith.Gap45.SyncMinimization
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
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and
in IndisputableMonolith.NumberTheory.CirclePhaseLift
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superfluid_fraction
in IndisputableMonolith.Physics.Superfluidity
decl_use