Nuprl - Pf M_DASH_C_DASH_S_SPACE_induction 1

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At: M DASH C DASH S SPACE induction 1

1. E: TaggedEventStruct
2. P: (|E| List)Prop
3. I: (|E| List)Prop
4. memorylessR(E) preserves P
5. (ternary) composableR(E) preserves P
6. safetyR(E) preserves P
7. safetyR(E) preserves I
8. tr:|E| List. I(tr) tr = nil (L_1,L_2:|E| List. tr = (L_1 @ L_2) & L_2 = nil & (xL_1.(yL_2.(x =msg=(E) y))) & (m:Label. (xL_2.tag(E)(x) = m)))

tr:|E| List. ||tr||0 (m:Label. P( < tr > _m)) I(tr) P(tr)

By: Auto THEN Subst (tr = nil) 0 THEN Try (Analyze 0) THEN Try (BackThru Thm* l:T List. ||l|| = 0 l = nil)

Generated subgoal:

1 9. tr: |E| List
10. ||tr||0
11. m:Label. P( < nil > _m)
12. I(nil)
P(nil)

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