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formal statement (Lean)
79def hilbert_variation_holds (met : MetricTensor) (ginv : InverseMetric)
80 (gamma : Idx → Idx → Idx → ℝ)
81 (dgamma : Idx → Idx → Idx → Idx → ℝ) : Prop :=
proof body
Definition body.
82 vacuum_efe_coord met ginv gamma dgamma 0
83
84/-- For flat spacetime, the Hilbert variation is satisfied. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (14)
Lean names referenced from this declaration's body.
-
gamma
in IndisputableMonolith.Constants.EulerMascheroni
decl_use
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MetricTensor
in IndisputableMonolith.Foundation.Hamiltonian
decl_use
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is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
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is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
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is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
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Idx
in IndisputableMonolith.Gravity.Connection
decl_use
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InverseMetric
in IndisputableMonolith.Gravity.Connection
decl_use
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MetricTensor
in IndisputableMonolith.Gravity.Connection
decl_use
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vacuum_efe_coord
in IndisputableMonolith.Gravity.RicciTensor
decl_use
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is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
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MetricTensor
in IndisputableMonolith.Meta.Homogenization
decl_use
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gamma
in IndisputableMonolith.NetworkScience.SmallWorldFromSigma
decl_use
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MetricTensor
in IndisputableMonolith.Relativity.Geometry.Metric
decl_use
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gamma
in IndisputableMonolith.Relativity.ILG.PPN
decl_use