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At: lang auto wf 1 1 1 1 1 1 1 1 1 1 1

1. Alph: Type
2. L: LangOver(Alph)
3. EquivRel x,y:Alph*. x L-induced Equiv y
4. g: (x,y:Alph*//(x L-induced Equiv y))
5. a: Alph
6. s1: Alph*
7. s2: Alph*
8. z: Alph*
9. L((z @ [a]) @ s1) L((z @ [a]) @ s2)

L(z @ (a.s1)) L(z @ (a.s2))

By: RWH (LemmaC Thm* as,bs,cs:T*. ((as @ bs) @ cs) = (as @ (bs @ cs))) 9 THENA (Auto THEN Fold `languages` 0)

Generated subgoal:

19. L(z @ [a] @ s1) L(z @ [a] @ s2)
L(z @ (a.s1)) L(z @ (a.s2))


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