- ([[ IFTE (FAtom x) (F[FTop/x]) (F[FBot/x])]]_v)
- = ([[ FOr (FAnd (FAtom x) (F[FTop/x])) (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v).
- = (max [[ (FAnd (FAtom x) (F[FTop/x])) ]]_v [[ (FAnd (FNot (FAtom x)) (F[FBot/x]))]]_v).
- = (max (min [[ FAtom x ]]_v [[ F[FTop/x] ]]_v) (min (1 - [[ FAtom x ]]_v) [[ F[FBot/x] ]]_v)).
- = (max (min 1 [[ F[FTop/x] ]]_v) (min (1 - 1) [[ F[FBot/x] ]]_v)) by H.
- = (max (min 1 [[ F[FTop/x] ]]_v) (min 0 [[ F[FBot/x] ]]_v)).
- = (max [[ F[FTop/x] ]]_v (min 0 [[ F[FBot/x] ]]_v)) by min_1_sem.
- = (max [[ F[FTop/x] ]]_v 0).
- = ([[ F[FTop/x] ]]_v) by max_0_sem.
- = ([[ F ]]_v) by H1, shannon_true.
+ ([[ IFTE (FAtom x) (F[FTop/x]) (F[FBot/x])]]v)
+ = ([[ FOr (FAnd (FAtom x) (F[FTop/x])) (FAnd (FNot (FAtom x)) (F[FBot/x]))]]v).
+ = (max [[ (FAnd (FAtom x) (F[FTop/x])) ]]v [[ (FAnd (FNot (FAtom x)) (F[FBot/x]))]]v).
+ = (max (min [[ FAtom x ]]v [[ F[FTop/x] ]]v) (min (1 - [[ FAtom x ]]v) [[ F[FBot/x] ]]v)).
+ = (max (min 1 [[ F[FTop/x] ]]v) (min (1 - 1) [[ F[FBot/x] ]]v)) by H1.
+ = (max (min 1 [[ F[FTop/x] ]]v) (min 0 [[ F[FBot/x] ]]v)).
+ = (max [[ F[FTop/x] ]]v (min 0 [[ F[FBot/x] ]]v)) by min_1_sem.
+ = (max [[ F[FTop/x] ]]v 0).
+ = ([[ F[FTop/x] ]]v) by max_0_sem.
+ = ([[ F ]]v) by H1, shannon_true.