Nuprl Definition : bm_exists_downeq
bm_exists_downeq(compare;m;k;p) ==
  binary_map_ind(m;ff;key,value,cnt,left,right,recL,recR.if 0 ≤z compare key k
  then p[value] ∨bbm_exists(left;p) ∨brecR
  else recL
  fi )
Definitions occuring in Statement : 
bm_exists: bm_exists(m;p)
, 
binary_map_ind: binary_map_ind(v;E;key,value,cnt,left,right,rec1,rec2.T[key;value;cnt;left;right;rec1;rec2])
, 
le_int: i ≤z j
, 
bor: p ∨bq
, 
ifthenelse: if b then t else f fi 
, 
bfalse: ff
, 
so_apply: x[s]
, 
apply: f a
, 
natural_number: $n
FDL editor aliases : 
bm_exists_downeq
bm\_exists\_downeq(compare;m;k;p)  ==
    binary\_map\_ind(m;ff;key,value,cnt,left,right,recL,recR.if  0  \mleq{}z  compare  key  k
    then  p[value]  \mvee{}\msubb{}bm\_exists(left;p)  \mvee{}\msubb{}recR
    else  recL
    fi  )
Date html generated:
2015_07_17-AM-08_19_57
Last ObjectModification:
2012_09_13-PM-00_34_41
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