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At: auto2 lemma 1 1 1

1. T: Type
2. P: TProp
3. Q: TProp
4. t:T. P(t) Q(t)

f:({t:T| P(t) }{t:T| Q(t) }), g:({t:T| Q(t) }{t:T| P(t) }). InvFuns({t:T| P(t) }; {t:T| Q(t) }; f; g)

By: Witness Id

Generated subgoals:

1 Id {t:T| P(t) }{t:T| Q(t) }
2 g:({t:T| Q(t) }{t:T| P(t) }). InvFuns({t:T| P(t) }; {t:T| Q(t) }; Id; g)


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existsfunctionsetapplyuniversepropallmember