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At: quo of quo 1 2 2 1

1. T: Type
2. R: TTProp
3. EquivRel x,y:T. x R y
4. Q: (x,y:T//(x R y))(x,y:T//(x R y))Prop
5. EquivRel u,v:x,y:T//(x R y). u Q v
6. EquivRel x,y:T. x Q y
7. f: (x,y:T//(x Q y))(u,v:(x,y:T//(x R y))//(u Q v))
8. f = (x.x)
9. x: u,v:(x,y:T//(x R y))//(u Q v)

x x,y:T//(x Q y)

By:
Unfold `member` 0
THEN
Analyze 9


Generated subgoal:

19. x1: x,y:T//(x R y)
10. x2: x,y:T//(x R y)
11. x1 Q x2
x1 = x2 x,y:T//(x Q y)


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memberquotientuniversefunctionpropequallambda