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theorem proved term proof

total_charge_always_zero

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formal statement (Lean)

 223theorem total_charge_always_zero {N : ℕ}
 224    (Q : TopologicalCharge N)
 225    (traj : Trajectory N) (h : IsVariationalTrajectory traj)
 226    (h_init : Q.value (traj 0) = 0) :
 227    ∀ t, Q.value (traj t) = 0 := by

proof body

Term-mode proof.

 228  intro t; rw [topological_charge_trajectory_conserved Q traj h t, h_init]
 229
 230/-- Conservation is unconditional — no symmetry assumption needed. -/

depends on (10)

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