Nuprl Lemma : term_wf
∀[opr:Type]. (term(opr) ∈ Type)
Proof
Definitions occuring in Statement :
term: term(opr),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
term: term(opr),
uimplies: b supposing a,
nat: ℕ,
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ
Lemmas referenced :
coterm_wf,
has-value_wf-partial,
nat_wf,
set-value-type,
le_wf,
istype-int,
int-value-type,
coterm-size_wf,
istype-universe
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
setEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
independent_isectElimination,
intEquality,
lambdaEquality_alt,
natural_numberEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
instantiate,
universeEquality
Latex:
\mforall{}[opr:Type]. (term(opr) \mmember{} Type)
Date html generated:
2020_05_19-PM-09_53_32
Last ObjectModification:
2020_03_09-PM-04_08_10
Theory : terms
Home
Index