Nuprl Definition : immediate-subterm

s < ==
  ∃f:opr. ∃bts:bound-term(opr) List. ((t mkterm(f;bts) ∈ term(opr)) ∧ (∃i:ℕ||bts||. (s (snd(bts[i])) ∈ term(opr))))



Definitions occuring in Statement :  bound-term: bound-term(opr) mkterm: mkterm(opr;bts) term: term(opr) select: L[n] length: ||as|| list: List int_seg: {i..j-} pi2: snd(t) exists: x:A. B[x] and: P ∧ Q natural_number: $n equal: t ∈ T
Definitions occuring in definition :  list: List bound-term: bound-term(opr) and: P ∧ Q mkterm: mkterm(opr;bts) exists: x:A. B[x] int_seg: {i..j-} natural_number: $n length: ||as|| equal: t ∈ T term: term(opr) pi2: snd(t) select: L[n]
FDL editor aliases :  immediate-subterm

Latex:
s  <  t  ==
    \mexists{}f:opr.  \mexists{}bts:bound-term(opr)  List.  ((t  =  mkterm(f;bts))  \mwedge{}  (\mexists{}i:\mBbbN{}||bts||.  (s  =  (snd(bts[i])))))



Date html generated: 2020_05_19-PM-09_54_03
Last ObjectModification: 2020_03_09-PM-04_08_29

Theory : terms


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