Nuprl Lemma : dl-prog-obj_wf
∀x:Prog. (prog(x) ∈ dl-Obj())
Proof
Definitions occuring in Statement : 
dl-prog-obj: prog(x)
, 
dl-prog: Prog
, 
dl-Obj: dl-Obj()
, 
all: ∀x:A. B[x]
, 
member: t ∈ T
Definitions unfolded in proof : 
all: ∀x:A. B[x]
, 
dl-Obj: dl-Obj()
, 
dl-prog-obj: prog(x)
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
ext-eq: A ≡ B
, 
and: P ∧ Q
, 
dl-prog: Prog
, 
subtype_rel: A ⊆r B
Lemmas referenced : 
mobj-ext, 
dl-Spec_wf, 
mrec_wf, 
dl-prog_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
lambdaFormation_alt, 
sqequalRule, 
cut, 
introduction, 
extract_by_obid, 
sqequalHypSubstitution, 
isectElimination, 
thin, 
hypothesis, 
productElimination, 
dependent_pairEquality_alt, 
tokenEquality, 
hypothesisEquality, 
universeIsType, 
applyEquality
Latex:
\mforall{}x:Prog.  (prog(x)  \mmember{}  dl-Obj())
Date html generated:
2019_10_15-AM-11_39_13
Last ObjectModification:
2019_03_26-AM-11_24_03
Theory : dynamic!logic
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