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At: lquo rel tran 1 1 2

1. A: Type
2. R: A*A*Prop
3. EquivRel x,y:A*. x R y
4. x,y,z:A*. (x R y) ((z @ x) R (z @ y))
5. g: (x,y:A*//(x R y))
6. a: x,y:A*//(x R y)
7. b: x,y:A*//(x R y)
8. c: x,y:A*//(x R y)
9. z:A*. g(z@a) g(z@b)
10. z:A*. g(z@b) g(z@c)
11. z: A*
12. g(z@c)

g(z@a)

By: RWW "9 < 10 < " 12

Generated subgoals:

None


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assertapplyuniversefunctionlist
propallimpliesquotientbool