Nuprl Lemma : rat_term_size_wf
∀[p:rat_term()]. (rat_term_size(p) ∈ ℕ)
Proof
Definitions occuring in Statement :
rat_term_size: rat_term_size(p),
rat_term: rat_term(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
rat_term_size: rat_term_size(p),
rat_termco_size: rat_termco_size(p),
rat_term: rat_term(),
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,
rat_termco_size_wf,
rat_term_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
cut,
sqequalRule,
sqequalHypSubstitution,
setElimination,
thin,
rename,
introduction,
extract_by_obid,
isectElimination,
hypothesis,
independent_isectElimination,
intEquality,
lambdaEquality_alt,
natural_numberEquality,
hypothesisEquality,
universeIsType
Latex:
\mforall{}[p:rat\_term()]. (rat\_term\_size(p) \mmember{} \mBbbN{})
Date html generated:
2019_10_29-AM-09_25_29
Last ObjectModification:
2019_03_31-PM-05_23_57
Theory : reals
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