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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