Nuprl Lemma : isvarterm_wf
∀[opr:Type]. ∀[t:term(opr)]. (isvarterm(t) ∈ 𝔹)
Proof
Definitions occuring in Statement :
isvarterm: isvarterm(t),
term: term(opr),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
subtype_rel: A ⊆r B,
guard: {T},
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
coterm-fun: coterm-fun(opr;T),
isvarterm: isvarterm(t),
isl: isl(x)
Lemmas referenced :
term-ext,
subtype_rel_weakening,
term_wf,
coterm-fun_wf,
btrue_wf,
bfalse_wf,
istype-universe
Rules used in proof :
cut,
introduction,
extract_by_obid,
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
hypothesis,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
applyEquality,
independent_isectElimination,
sqequalRule,
inhabitedIsType,
lambdaFormation_alt,
unionElimination,
equalityIstype,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
independent_functionElimination,
universeIsType,
instantiate,
universeEquality
Latex:
\mforall{}[opr:Type]. \mforall{}[t:term(opr)]. (isvarterm(t) \mmember{} \mBbbB{})
Date html generated:
2020_05_19-PM-09_53_37
Last ObjectModification:
2020_03_09-PM-04_08_14
Theory : terms
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