Nuprl Lemma : test-label_wf
∀[d:test-Obj()]. (test-label(d) ∈ Atom)
Proof
Definitions occuring in Statement : 
test-label: test-label(d)
, 
test-Obj: test-Obj()
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
atom: Atom
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
test-Obj: test-Obj()
, 
test-label: test-label(d)
, 
subtype_rel: A ⊆r B
Lemmas referenced : 
mobj-label_wf, 
test-Spec_wf, 
test-Obj_wf
Rules used in proof : 
sqequalSubstitution, 
sqequalTransitivity, 
computationStep, 
sqequalReflexivity, 
isect_memberFormation_alt, 
introduction, 
cut, 
sqequalHypSubstitution, 
sqequalRule, 
extract_by_obid, 
isectElimination, 
thin, 
hypothesis, 
hypothesisEquality, 
applyEquality, 
lambdaEquality_alt, 
setElimination, 
rename, 
inhabitedIsType, 
equalityTransitivity, 
equalitySymmetry, 
axiomEquality, 
universeIsType
Latex:
\mforall{}[d:test-Obj()].  (test-label(d)  \mmember{}  Atom)
Date html generated:
2019_10_15-AM-10_49_19
Last ObjectModification:
2019_03_25-PM-01_48_15
Theory : tree_1
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