Nuprl - Pf discrete implies bool equality 1 1 1 2 1 2 1 1 1 1 2

(25steps) PrintForm Definitions discrete jlc Sections Support(jlc) Doc

At: discrete implies bool equality 1 1 1 2 1 2 1 1 1 1 2

1. T: Type
2. g: x,y:T(x = y)+(x = y)
3. x: T
4. y: T
5. x = y
6. y1: y@0:T(y = y@0)+(y = y@0)
7. y1 = g(y)
8. y3: y = y
9. inr(y3) = y1(y)

False

By: Unfold `not` 8 THEN Assert (y = y) THEN RenameVar `z' -1

Generated subgoal:

1 8. y3: y = y False
9. inr(y3) = y1(y)
10. z: y = y
False

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(25steps) PrintForm Definitions discrete jlc Sections Support(jlc) Doc