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formal statement (Lean)
124theorem gap_zero_above_tc (T T_c : ℝ) (hTc_pos : 0 < T_c)
125 (hT_ge : T_c ≤ T) :
126 superconducting_gap T T_c hTc_pos = 0 := by
proof body
Term-mode proof.
127 unfold superconducting_gap
128 simp [not_lt.mpr hT_ge]
129
130/-- **THEOREM EN-002.9**: The gap is maximized at T = 0. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
-
en002_certificate
in IndisputableMonolith.Engineering.RoomTempSuperconductivityStructure
decl_use
depends on (11)
Lean names referenced from this declaration's body.
-
superconducting_gap
in IndisputableMonolith.Engineering.RoomTempSuperconductivityStructure
decl_use
-
T
in IndisputableMonolith.Foundation.Breath1024
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
gap
in IndisputableMonolith.Gap45.Derivation
decl_use
-
T
in IndisputableMonolith.Gap45.SyncMinimization
decl_use
-
gap
in IndisputableMonolith.Masses.AnchorPolicy
decl_use
-
gap
in IndisputableMonolith.Masses.RSBridge.Anchor
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
gap
in IndisputableMonolith.RSBridge.Anchor
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