(9steps) PrintForm Definitions Lemmas mb automata 1 Sections GenAutomata Doc

At: apply alist non member 2 1 1 2
1. T: Type
2. as: (LabelT) List
3. u: LabelT
4. v: (LabelT) List
5. d:T, x:Label. (x map(p.1of(p);v)) apply_alist(v;x;d) = d
6. d: T
7. x: Label
8. (x = 1of(u) (x map(p.1of(p);v)))
9. apply_alist([u / v];x;d) ~ if 1of(u) = x 2of(u) else apply_alist(v;x;d) fi
10. 1of(u) = x Pattern

apply_alist(v;x;d) = d
By:
BackThruSomeHyp
THEN
Analyze 0
Generated subgoal:

111. (x map(p.1of(p);v))
False

About:
productlistconsifthenelselambda
universeequalsqequalimpliesorfalseall

(9steps) PrintForm Definitions Lemmas mb automata 1 Sections GenAutomata Doc