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At: lang auto compute 1 1 2 1 2 2 2 1 1 1 1 1 1
1. Alph: Type
2. L: LangOver(Alph)
3. EquivRel x,y:Alph*. x L-induced Equiv y
4. L Alph*Prop
5. g: (x,y:Alph*//(x L-induced Equiv y))
6. l: Alph*
7. u: Alph
8. v: Alph*
9. (Result(A(g))v) = v x,y:Alph*//(x L-induced Equiv y)
10. u.v = nil
11. z1: Alph*
12. z2: Alph*
13. z: Alph*
14. L((z @ [u]) @ z1) L((z @ [u]) @ z2)

L(z @ (u.z1)) L(z @ (u.z2))
By: RWH (LemmaC Thm* as,bs,cs:T*. ((as @ bs) @ cs) = (as @ (bs @ cs))) 14
Generated subgoal:

114. L(z @ [u] @ z1) L(z @ [u] @ z2)
L(z @ (u.z1)) L(z @ (u.z2))

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applyconsuniverselistmemberfunction
propquotientboolequalnil