Nuprl Lemma : PZF_safe_wf
∀[C:Type]. ∀[phi:Form(C)]. ∀[vs:Atom List]. (PZF_safe(phi;vs) ∈ 𝔹)
Proof
Definitions occuring in Statement :
PZF_safe: PZF_safe(phi;vs),
Form: Form(C),
list: T List,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
atom: Atom,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
PZF_safe: PZF_safe(phi;vs)
Lemmas referenced :
FormSafe2_wf,
list_wf,
Form_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
applyEquality,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
cumulativity,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
atomEquality,
isect_memberEquality,
because_Cache,
universeEquality
Latex:
\mforall{}[C:Type]. \mforall{}[phi:Form(C)]. \mforall{}[vs:Atom List]. (PZF\_safe(phi;vs) \mmember{} \mBbbB{})
Date html generated:
2018_05_21-PM-11_30_14
Last ObjectModification:
2017_10_11-PM-00_55_09
Theory : PZF
Home
Index