Nuprl Lemma : dl-test?_wf
∀[x:Prog]. (dl-test?(x) ∈ 𝔹)
Proof
Definitions occuring in Statement :
dl-test?: dl-test?(x),
dl-prog: Prog,
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
dl-test?: dl-test?(x),
all: ∀x:A. B[x]
Lemmas referenced :
eq_atom_wf,
dl-label_wf,
dl-prog-obj_wf,
dl-prog_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
sqequalRule,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
dependent_functionElimination,
hypothesisEquality,
hypothesis,
tokenEquality,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
universeIsType
Latex:
\mforall{}[x:Prog]. (dl-test?(x) \mmember{} \mBbbB{})
Date html generated:
2019_10_15-AM-11_40_16
Last ObjectModification:
2019_03_26-AM-11_24_36
Theory : dynamic!logic
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