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
Home
Index