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theorem proved term proof

topological_charge_trajectory_conserved

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formal statement (Lean)

  76theorem topological_charge_trajectory_conserved {N : ℕ} (Q : TopologicalCharge N)
  77    (traj : Trajectory N) (h : IsVariationalTrajectory traj) :
  78    ∀ t, Q.value (traj t) = Q.value (traj 0) := by

proof body

Term-mode proof.

  79  intro t
  80  induction t with
  81  | zero => rfl
  82  | succ n ih => rw [← ih]; exact Q.conserved (traj n) (traj (n + 1)) (h n)
  83
  84/-- **THEOREM (Charge Is Time-Independent)** -/

used by (3)

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