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At: quo of 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) ((x,y:T//(x Q y)) ~ (u,v:(x,y:T//(x R y))//(u Q v))))
By:
UnivCD
THEN
Unfold `one_one_corr` 0
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
f:((x,y:T//(x Q y))(u,v:(x,y:T//(x R y))//(u Q v))) , g:((u,v:(x,y:T//(x R y))//(u Q v))(x,y:T//(x Q y))). InvFuns(x,y:T//(x Q y); u,v:(x,y:T//(x R y))//(u Q v); f; g)

About:
alluniversefunctionpropimpliesquotientexists