(16steps total) PrintForm Definitions Lemmas mb event system 7 Sections EventSystems Doc
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At: rdist-property 1 1 2

1. R : Id
2. in : |R|IdLnk
3. out : |R|IdLnk
4. i : |R|
5. j : |R|
6. ring(R;in;out)
7. (k.x.n(x)^k+1(i) = j 
8. n:. (k.x.n(x)^k+1(i) = j)(n)
  x.n(x)^d(i;j)(i) = j & (k:k<d(i;j x.n(x)^k(i) = j)


By: Inst Thm* f:(). (n:f(n))  f(mu(f)) & (i:i<mu(f f(i))
[k.x.n(x)^k+1(i) = j]
THENA
Trivial
THEN
Inst Thm* f:(). (n:f(n))  mu(f  [k.x.n(x)^k+1(i) = j]
THENA
Trivial


Generated subgoal:

1 9. (k.x.n(x)^k+1(i) = j)(mu(k.x.n(x)^k+1(i) = j))
9. & (i@0:i@0<mu(k.x.n(x)^k+1(i) = j (k.x.n(x)^k+1(i) = j)(i@0))
10. mu(k.x.n(x)^k+1(i) = j 
  x.n(x)^d(i;j)(i) = j & (k:k<d(i;j x.n(x)^k(i) = j)

10 steps

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

(16steps total) PrintForm Definitions Lemmas mb event system 7 Sections EventSystems Doc