Nuprl - Proof: hprod ty def 1 1 1 1

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At: hprod ty def 1 1 1 1

1. 'a : S
2. 'b : S
3. x' : hprod('a; 'b)
4. x'' : hprod('a; 'b)
5. (

a:'a.

b:'b. (a =

1of(x'))

(b =

2of(x')))
5. =
5. (

a:'a.

b:'b. (a =

1of(x''))

(b =

2of(x'')))
6. 1of(x') = 1of(x'')
7. 2of(x') = 2of(x'')

x' = x''

By:	Analyze 4 THEN Analyze 3 THEN Simp THEN StrongAuto THEN Analyze THEN StrongAuto

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