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formal statement (Lean)
53theorem V_nonneg {phi_inf : ℝ} (h : -1 < phi_inf) : 0 ≤ V phi_inf := by
proof body
Term-mode proof.
54 unfold V
55 apply Cost.Jcost_nonneg
56 linarith
57
58/-- `V` is strictly positive away from the vacuum. -/
used by (1)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (15)
Lean names referenced from this declaration's body.
-
V
in IndisputableMonolith.Cosmology.InflatonPotentialFromJCost
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Cost
decl_use
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Jcost_nonneg
in IndisputableMonolith.Cost.JcostCore
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
from
in IndisputableMonolith.Foundation.PrimitiveDistinction
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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V
in IndisputableMonolith.Foundation.SpectralEmergence
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
Jcost_nonneg
in IndisputableMonolith.Gravity.CoherenceCollapse
decl_use
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Jcost_nonneg
in IndisputableMonolith.Gravity.EnergyProcessingBridge
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
Cost
in IndisputableMonolith.Measurement.RSNative.Core
decl_use
-
Jcost_nonneg
in IndisputableMonolith.NavierStokes.PhiLadderCutoff
decl_use
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V
in IndisputableMonolith.RRF.Core.Glossary
decl_use
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vacuum
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use