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At: lquo rel tran


A:Type, R:(A*A*Prop). (EquivRel x,y:A*. x R y) (x,y,z:A*. (x R y) ((z @ x) R (z @ y))) (g:((x,y:A*//(x R y))). Trans u,v:x,y:A*//(x R y). u Rg v)

By:
UnivCD
THEN
Unfold `lquo_rel` 0


Generated subgoal:

11. 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))
Trans u,v:x,y:A*//(x R y). u (x,y. z:A*. g(z@x) g(z@y)) v


About:
alluniversefunctionlistpropimplies
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