Nuprl - Proof: equivrel characterization 1 1 1 2

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At: equivrel characterization 1 1 1 2

1. A : Type
2. R : A

Prop
3. Refl(A;x,y.R(x,y))
4. Sym x,y:A. R(x,y)
5. Trans x,y:A. R(x,y)
6. x : A
7. y : A
8. R(x,y)

R(y,x) & (

z:A. R(y,z)

R(x,z))

By:	Analyze 0 THENL [Id;Auto]

Generated subgoals:

1 R(y,x)
1 step

2 9. z : A
10. R(y,z)
R(x,z)
1 step

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