Thm* hyp,M,N:Formula List, q,r:Formula, a:Assignment. a | < q.hyp,r.(M @ N) > a | < hyp,M @ (qr.N) > formula_imp_right_falsifiable

Thm* concl,M,N:Formula List, q,r:Formula, a:Assignment. a | < r.(M @ N),concl > a | < M @ N,q.concl > a | < M @ (qr.N),concl > formula_imp_left_falsifiable

Thm* concl,M,N:Formula List, q,r:Formula, a:Assignment. a | < q.(M @ N),concl > a | < r.(M @ N),concl > a | < M @ (qr.N),concl > formula_or_left_falsifiable

Thm* hyp,M,N:Formula List, q,r:Formula, a:Assignment. a | < hyp,[q; r/ M @ N] > a | < hyp,M @ (qr.N) > formula_or_right_falsifiable

Thm* hyp,M,N:Formula List, q,r:Formula, a:Assignment. a | < hyp,q.(M @ N) > a | < hyp,r.(M @ N) > a | < hyp,M @ (qr.N) > formula_and_right_falsifiable

Thm* concl,M,N:Formula List, q,r:Formula, a:Assignment. a | < [q; r/ M @ N],concl > a | < M @ (qr.N),concl > formula_and_left_falsifiable

Thm* hyp,M,N:Formula List, f2:Formula, a:Assignment. a | < f2.hyp,M @ N > a | < hyp,M @ (f2.N) > formula_not_right_falsifiable

Thm* concl,M,N:Formula List, f2:Formula, a:Assignment. a | < M @ N,f2.concl > a | < M @ (f2.N),concl > formula_not_left_falsifiable

In prior sections: sequent falsification sequent sat lemmas full sequent assignment