Nuprl Lemma : bound-term-size_wf
∀[opr:Type]. ∀[bt:bound-term(opr)]. (bound-term-size(bt) ∈ ℕ)
Proof
Definitions occuring in Statement :
bound-term-size: bound-term-size(bt),
bound-term: bound-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,
bound-term-size: bound-term-size(bt),
bound-term: bound-term(opr),
pi2: snd(t)
Lemmas referenced :
term-size_wf,
bound-term_wf,
istype-universe
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
productElimination,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType,
instantiate,
universeEquality
Latex:
\mforall{}[opr:Type]. \mforall{}[bt:bound-term(opr)]. (bound-term-size(bt) \mmember{} \mBbbN{})
Date html generated:
2020_05_19-PM-09_53_59
Last ObjectModification:
2020_03_09-PM-04_08_27
Theory : terms
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