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At: incl aux6 quo


T:Type, R:(TTProp). (EquivRel x,y:T. x R y) (Q:((x,y:T//(x R y))(x,y:T//(x R y))Prop). (EquivRel u,v:x,y:T//(x R y). u Q v) (EquivRel x,y:T. x Q y))

By: UnivCD

Generated subgoal:

11. 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
EquivRel x,y:T. x Q y


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alluniversefunctionpropimpliesquotient