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At: mem select


T:Type, L:T*, t:T. mem_f(T;t;L) (i:||L||. L[i] = t)

By:
RepD
THEN
ListInd 2
THEN
Reduce 0


Generated subgoal:

11. T: Type
2. L: T*
3. t: T
4. u: T
5. v: T*
6. mem_f(T;t;v) (i:||v||. v[i] = t)
7. u = t mem_f(T;t;v)
i:(||v||+1). (u.v)[i] = t


About:
alluniverselistimpliesexists
natural_numberequaladdcons