Nuprl - Proof: squash thru equiv rel 1

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At: squash thru equiv rel 1

1. T : Type
2. E : T

Prop
3.

((

a:T. E(a,a))
3.

(& (

a,b:T. E(a,b)

E(b,a))
3.

(& (

a,b,c:T. E(a,b)

E(b,c)

E(a,c)))
4. a : T

E(a,a)

By:	Analyze 3 THEN Analyze 0

Generated subgoal:

1 3. (a:T. E(a,a))
3. & (a,b:T. E(a,b)  E(b,a))
3. & (a,b,c:T. E(a,b)  E(b,c)  E(a,c))
4. a : T
  E(a,a)
1 step

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