Nuprl Lemma : ut1-test_wf
∀[x:Top + Top]. (ut1-test{$aaa,$bbb}(x) ∈ Atom1)
Proof
Definitions occuring in Statement :
ut1-test: ut1-test{$aaa,$bbb}(x),
atom: Atom$n,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
union: left + right
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
ut1-test: ut1-test{$aaa,$bbb}(x)
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
unionElimination,
thin,
token1Equality,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
unionEquality,
lemma_by_obid
Latex:
\mforall{}[x:Top + Top]. (ut1-test\{\$aaa,\$bbb\}(x) \mmember{} Atom1)
Date html generated:
2016_05_15-PM-07_57_23
Last ObjectModification:
2015_12_27-AM-11_04_28
Theory : general
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