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At: mn 23 Rl equal Rg 1 3
1. Alph: Type
2. L: Alph*Prop
3. R: Alph*Alph*Prop
4. EquivRel x,y:Alph*. x R y
5. x,y,z:Alph*. (x R y) ((z @ x) R (z @ y))
6. g: (x,y:Alph*//(x R y))
7. l:Alph*. L(l) g(l)

EquivRel x,y:Alph*. x Rg y
By: BackThru Thm* 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))
Generated subgoals:

1 EquivRel x,y:Alph*. x R y
2 EquivRel u,v:x,y:Alph*//(x R y). u Rg v

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