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At: formula and right sat 2 1 1

1. hyp: Formula List
2. M: Formula List
3. N: Formula List
4. q: Formula
5. r: Formula
6. a: Assignment
7. Fhyp.a | F FM.a |= F a |= q & a |= r FN.a |= F

a |= < hyp,q.(M @ N) > & a |= < hyp,r.(M @ N) >

By:
Analyze 0
THEN
OnHyps [0] (i. UnfoldTopAb i THEN AbReduce i THEN Rewrite (HigherC (LemmaC Thm* P:(TProp), L,M:T List. x(L @ M).P(x) xL.P(x) xM.P(x))) i THEN AbReduce i)
THEN
RepeatOrHD -1


Generated subgoals:

17. Fhyp.a | F
Fhyp.a | F a |= q FM.a |= F FN.a |= F
27. FM.a |= F
Fhyp.a | F a |= q FM.a |= F FN.a |= F
37. a |= q & a |= r
Fhyp.a | F a |= q FM.a |= F FN.a |= F
47. FN.a |= F
Fhyp.a | F a |= q FM.a |= F FN.a |= F
57. Fhyp.a | F
Fhyp.a | F a |= r FM.a |= F FN.a |= F
67. FM.a |= F
Fhyp.a | F a |= r FM.a |= F FN.a |= F
77. a |= q & a |= r
Fhyp.a | F a |= r FM.a |= F FN.a |= F
87. FN.a |= F
Fhyp.a | F a |= r FM.a |= F FN.a |= F


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