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At: mn 23 2 1 2
1. n: {1...}
2. A: Type
3. L: LangOver(A)
4. L A*Prop
5. R: A*A*Prop
6. Fin(A)
7. EquivRel x,y:A*. x R y
8. n ~ (x,y:A*//(x R y))
9. x,y,z:A*. (x R y) ((z @ x) R (z @ y))
10. g: (x,y:A*//(x R y))
11. l:A*. L(l) g(l)
12. x,y:x,y:A*//(x R y). Dec(x Rg y)

m:. m ~ (x,y:A*//(x L-induced Equiv y))
By: Thin 6
Generated subgoal:

16. EquivRel x,y:A*. x R y
7. n ~ (x,y:A*//(x R y))
8. x,y,z:A*. (x R y) ((z @ x) R (z @ y))
9. g: (x,y:A*//(x R y))
10. l:A*. L(l) g(l)
11. x,y:x,y:A*//(x R y). Dec(x Rg y)
m:. m ~ (x,y:A*//(x L-induced Equiv y))

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