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theorem proved term proof

close_conditional_loop

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formal statement (Lean)

 119theorem close_conditional_loop {α : Type} (route : ConditionalCompletionRoute α) {a : α}
 120    (hFRC : route.FRC a) : route.Regularity a := by

proof body

Term-mode proof.

 121  have hID : route.InjectionDamping a := route.frc_to_injectionDamping a hFRC
 122  have hDC : route.DirectionConstancy a :=
 123    route.injectionDamping_to_directionConstancy a hID
 124  have hRR : route.RigidRotationVeto a :=
 125    route.directionConstancy_to_rigidRotationVeto a hDC
 126  exact route.rigidRotationVeto_to_regularity a hRR
 127
 128/-- A regularity certificate obtained by running the conditional route on a
 129finite RS lattice profile. -/

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