Thm* hyp,M,N:Formula List, f2:Formula. |= < f2.hyp,M @ N > |= < hyp,M @ (f2.N) > formula_not_right_sound

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* hyp,M,N:Formula List, f:Formula, a:Assignment. a |= < f.hyp,M @ N > a |= < hyp,M @ (f.N) > formula_not_right_sat

Thm* concl,M,N:Formula List, f2:Formula. |= < M @ N,f2.concl > |= < M @ (f2.N),concl > formula_not_left_sound

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

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

In prior sections: sat lemmas