\forall (g: G).(\forall (a: A).(\forall (c2: C).(\forall (hds:
PList).(\forall (c1: C).(\forall (t: T).((drop1 hds c1 c2) \to ((arity g c2 t
a) \to (arity g c1 (lift1 hds t) a))))))))
\forall (g: G).(\forall (a: A).(\forall (c2: C).(\forall (hds:
PList).(\forall (c1: C).(\forall (t: T).((drop1 hds c1 c2) \to ((arity g c2 t
a) \to (arity g c1 (lift1 hds t) a))))))))