Nuprl Lemma : term-size_wf
∀[opr:Type]. ∀[t:term(opr)].  (term-size(t) ∈ ℕ)
Proof
Definitions occuring in Statement : 
term-size: term-size(t)
, 
term: term(opr)
, 
nat: ℕ
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
universe: Type
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
term-size: term-size(t)
, 
term: term(opr)
, 
uimplies: b supposing a
, 
nat: ℕ
, 
so_lambda: λ2x.t[x]
, 
so_apply: x[s]
Lemmas referenced : 
termination, 
nat_wf, 
set-value-type, 
le_wf, 
istype-int, 
int-value-type, 
coterm-size_wf, 
term_wf, 
istype-universe
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation_alt, 
introduction, 
cut, 
sqequalRule, 
sqequalHypSubstitution, 
setElimination, 
thin, 
rename, 
extract_by_obid, 
isectElimination, 
hypothesis, 
independent_isectElimination, 
intEquality, 
lambdaEquality_alt, 
natural_numberEquality, 
hypothesisEquality, 
axiomEquality, 
equalityTransitivity, 
equalitySymmetry, 
universeIsType, 
isect_memberEquality_alt, 
isectIsTypeImplies, 
inhabitedIsType, 
instantiate, 
universeEquality
Latex:
\mforall{}[opr:Type].  \mforall{}[t:term(opr)].    (term-size(t)  \mmember{}  \mBbbN{})
Date html generated:
2020_05_19-PM-09_53_46
Last ObjectModification:
2020_03_09-PM-04_08_19
Theory : terms
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