At: formula imp left falsifiable2 1. concl: Formula List 2. M: Formula List 3. N: Formula List 4. q: Formula 5. r: Formula 6. a: Assignment 7. a | < M @ (qr.N),concl >
a | < r.(M @ N),concl > a | < M @ N,q.concl > By: OnHyps [-1;0]
(i.
Unfold `sequent_falsifiable` i THEN AbReduce i
THEN
Rewrite
(HigherC
(LemmaC
Thm*P:(TProp), L,M:T List.
x(L @ M).P(x) xL.P(x) & xM.P(x)))
i
THEN
AbReduce i) Generated subgoal:
7. FM.a |= F & a |= qr & FN.a |= F & Fconcl.a | F a |= r & FM.a |= F & FN.a |= F & Fconcl.a | F
FM.a |= F & FN.a |= F & a | q & Fconcl.a | F