<thf_sequent> ::= <thf_tuple> <gentzen_arrow> <thf_tuple>
<tfx_sequent> ::= <tfx_tuple> <gentzen_arrow> <tfx_tuple>
<fof_sequent> ::= <fof_formula_tuple> <gentzen_arrow>
<fof_formula_tuple> | (<fof_sequent>)
<gentzen_arrow> ::= -->