Nuprl Lemma : ranked-eo-pred

[L,rk:Top]. ∀[e:Top × Top].  (pred(e) if snd(e)=0  then e  else <fst(e), (snd(e)) 1>)


Proof




Definitions occuring in Statement :  ranked-eo: ranked-eo(L;rk) es-pred: pred(e) uall: [x:A]. B[x] top: Top pi1: fst(t) pi2: snd(t) int_eq: if a=b  then c  else d pair: <a, b> product: x:A × B[x] subtract: m natural_number: $n sqequal: t
Lemmas :  rec_select_update_lemma top_wf

Latex:
\mforall{}[L,rk:Top].  \mforall{}[e:Top  \mtimes{}  Top].    (pred(e)  \msim{}  if  snd(e)=0    then  e    else  <fst(e),  (snd(e))  -  1>)



Date html generated: 2015_07_21-PM-04_44_21
Last ObjectModification: 2015_01_27-PM-04_59_48

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