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1. Alph: Type
2. L: Alph*Prop
3. EquivRel x,y:Alph*. x L-induced Equiv y
4. Fin(Alph)
5. Fin(x,y:Alph*//L-induced Equiv(x,y))
6. l:Alph*. Dec(L(l))
7. g: Alph*
8. t:Alph*. L(t) g(t)
9. a: Alph
10. s1: Alph*
11. s2: Alph*
12. z:Alph*. L(z @ s1) L(z @ s2)
13. z: Alph*
14. L(z @ [a] @ s1) L(z @ [a] @ s2)

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

By:
Reduce -1
THEN
NthHyp -1


Generated subgoals:

None


About:
applyconsuniversefunctionlistprop
quotientallboolassertnil