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At: mn quo append assoc


Alph:Type, R:(Alph*Alph*Prop). (EquivRel x,y:Alph*. x R y) (x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))) (z1,z2:Alph*, y:x,y:Alph*//(x R y). z1 @ z2@y = z1@z2@y)

By: UnivCD

Generated subgoal:

11. Alph: Type
2. R: Alph*Alph*Prop
3. EquivRel x,y:Alph*. x R y
4. x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))
5. z1: Alph*
6. z2: Alph*
7. y: x,y:Alph*//(x R y)
z1 @ z2@y = z1@z2@y


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alluniversefunctionlistpropimpliesquotientequal