def
definition
def or abbrev
IsVariationalSuccessor
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formal statement (Lean)
107def IsVariationalSuccessor {N : ℕ} (current next : Configuration N) : Prop :=
proof body
Definition body.
108 next ∈ Feasible current ∧
109 ∀ c' ∈ Feasible current, total_defect next ≤ total_defect c'
110
111/-- **Total defect** is non-negative for any configuration. -/
used by (15)
-
conservation_is_unconditional -
NoetherCharge -
TopologicalCharge -
IsEquilibrium -
IsVariationalTrajectory -
uniform_is_variational_successor -
unity_is_optimal -
update_is_global -
variational_dynamics_certificate -
variational_dynamics_deterministic -
variational_implies_recognition_step -
variational_step_exists -
variational_step_reduces_defect -
variational_step_unique -
winding_label_is_topological