Nuprl - Pf disjoint iff assert disjoint2 1 2

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At: disjoint iff assert disjoint2 1 2

1. T: Type
2. eq: {T}
3. eq TT
4. L: T List
5. M: T List
6. u: T
7. v: T List
8. disjoint(eq;v;M) disjoint(eq;v;M)

u(eq) M & disjoint(eq;v;M) if u(eq) M false else disjoint(eq;v;M) fi

By: IfThenElseCases 0 THEN BoolEval

Generated subgoals:

1 9. u(eq) M = true
false & disjoint(eq;v;M) false

2 9. u(eq) M = false
true & disjoint(eq;v;M) disjoint(eq;v;M)

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