Nuprl - Proof: equivrel characterization 1 1 1

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At: equivrel characterization 1 1 1

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

R(x,x) & (

y:A. R(x,y)

R(y,x) & (

z:A. R(y,z)

R(x,z)))

By:	Analyze 0 THENL [Id;UnivCD]

Generated subgoals:

1 R(x,x)
1 step

2 7. y : A
8. R(x,y)
R(y,x) & (z:A. R(y,z) R(x,z))
3 steps

About:

IF YOU CAN SEE THIS go to /sfa/Nuprl/Shared/Xindentation_hack_doc.html

1	R(x,x)	1 step
2	7. y : A 8. R(x,y) R(y,x) & (z:A. R(y,z) R(x,z))	3 steps