recognition /
Action /
Action.Noether /
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formal statement (Lean)
71 def spaceShift (dx : ℝ) : RealAction → RealAction :=
proof body
Definition body.
72 fun γ t => γ t + dx
73
74 /-- A J-action functional on real-valued trajectories is
75 space-translation invariant if shifting the trajectory by a constant
76 leaves the action unchanged. -/
used by (2)
From the project-wide theorem graph. These declarations reference this one in their body.
depends on (10)
Lean names referenced from this declaration's body.
RealAction
in IndisputableMonolith.Action.Noether
decl_use
A
in IndisputableMonolith.Foundation.IntegrationGap
decl_use
is
in IndisputableMonolith.Foundation.OptionAEmpiricalProgram
decl_use
is
in IndisputableMonolith.Foundation.SimplicialLedger.EdgeLengthFromPsi
decl_use
is
in IndisputableMonolith.GameTheory.MechanismDesignFromSigma
decl_use
A
in IndisputableMonolith.Masses.Anchor
decl_use
is
in IndisputableMonolith.Mathematics.RamanujanBridge.MockThetaPhantom
decl_use
A
in IndisputableMonolith.Modal.Actualization
decl_use
constant
in IndisputableMonolith.Relativity.Fields.Scalar
decl_use
trajectory
in IndisputableMonolith.Robotics.PIDStabilityFromJCost
decl_use