Nuprl Lemma : wfterm_wf
∀[opr:Type]. ∀[sort:term(opr) ⟶ ℕ]. ∀[arity:opr ⟶ ((ℕ × ℕ) List)]. (wfterm(opr;sort;arity) ∈ Type)
Proof
Definitions occuring in Statement :
wfterm: wfterm(opr;sort;arity),
term: term(opr),
list: T List,
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
wfterm: wfterm(opr;sort;arity),
prop: ℙ
Lemmas referenced :
term_wf,
assert_wf,
wf-term_wf,
list_wf,
nat_wf,
istype-nat,
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,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
functionIsType,
universeIsType,
productEquality,
isect_memberEquality_alt,
isectIsTypeImplies,
inhabitedIsType,
instantiate,
universeEquality
Latex:
\mforall{}[opr:Type]. \mforall{}[sort:term(opr) {}\mrightarrow{} \mBbbN{}]. \mforall{}[arity:opr {}\mrightarrow{} ((\mBbbN{} \mtimes{} \mBbbN{}) List)].
(wfterm(opr;sort;arity) \mmember{} Type)
Date html generated:
2020_05_19-PM-09_58_22
Last ObjectModification:
2020_03_09-PM-04_10_18
Theory : terms
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