<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> ::= -->