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At: not dec is dec 1
1. A: Type
2. P: AProp
3. (x:A. P(x) P(x)) & (x:A. P(x)) (x:A. P(x))

(x:A. P(x)) (x:A. P(x))
By: Analyze 3
Generated subgoal:

13. x:A. P(x) P(x)
4. (x:A. P(x)) (x:A. P(x))
(x:A. P(x)) (x:A. P(x))

About:
orallapplyuniversefunctionpropandexists