Definitions num thy 1 Sections StandardLIB Doc
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The proof here illustrates how the evaluation of the extract of one theorem

Thm* a,b:. Dec(a | b)

can help to prove another theorem.
For neatness, the pattern of proof here could easily be incorporated into a tactic.

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

Definitions num thy 1 Sections StandardLIB Doc