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At: mn 23 refinment


Alph:Type, L:LangOver(Alph), R:(Alph*Alph*Prop). (EquivRel x,y:Alph*. x R y) (g:((x,y:Alph*//(x R y))). l:Alph*. L(l) g(l)) & (x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))) (x,y:Alph*. (x R y) (x L-induced Equiv y))

By: GenExRepD

Generated subgoals:

11. Alph: Type
2. L: LangOver(Alph)
3. R: Alph*Alph*Prop
4. EquivRel x,y:Alph*. x R y
5. g: (x,y:Alph*//(x R y))
6. l:Alph*. L(l) g(l)
7. x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))
8. x: Alph*
9. y: Alph*
10. x R y
x L-induced Equiv y
21. Alph: Type
2. L: LangOver(Alph)
3. R: Alph*Alph*Prop
4. EquivRel x,y:Alph*. x R y
5. g: (x,y:Alph*//(x R y))
6. l: Alph*
L Alph*Prop


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existsquotientboolapplyassertmember