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formal statement (Lean)
45theorem higgs_symmetric {r : ℝ} (hr : 0 < r) :
46 higgsPotential r = higgsPotential r⁻¹ := Jcost_symm hr
proof body
Term-mode proof.
47
48/-- The potential is non-negative (all field values above vacuum). -/
used by (3)
From the project-wide theorem graph. These declarations reference this one in their body.
-
higgsPotentialCert
in IndisputableMonolith.Foundation.QRFT.HiggsPotentialFromRecognitionVacuum
decl_use
-
higgsFieldCert
in IndisputableMonolith.Physics.HiggsFieldFromRecognitionVacuum
decl_use
-
higgs_symmetric
in IndisputableMonolith.Physics.HiggsFieldFromRecognitionVacuum
decl_use
depends on (14)
Lean names referenced from this declaration's body.
-
all
in IndisputableMonolith.Aesthetics.NarrativeGeodesic
decl_use
-
all
in IndisputableMonolith.Anthropology.KinshipGraphCohomology
decl_use
-
Jcost_symm
in IndisputableMonolith.Cost
decl_use
-
Jcost_symm
in IndisputableMonolith.Cost.JcostCore
decl_use
-
all
in IndisputableMonolith.Engineering.AsteroidOreSpectroscopy
decl_use
-
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
-
higgsPotential
in IndisputableMonolith.Foundation.QRFT.HiggsPotentialFromRecognitionVacuum
decl_use
-
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
-
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
-
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
-
all
in IndisputableMonolith.Musicology.ModalPreferenceFromPhi
decl_use
-
higgs_symmetric
in IndisputableMonolith.Physics.HiggsFieldFromRecognitionVacuum
decl_use
-
higgsPotential
in IndisputableMonolith.StandardModel.ElectroweakBreaking
decl_use
-
vacuum
in IndisputableMonolith.Unification.YangMillsMassGap
decl_use