Nuprl Lemma : oobleft_wf
∀[A,B:Type]. ∀[lval:A]. (oobleft(lval) ∈ one_or_both(A;B))
Proof
Definitions occuring in Statement :
oobleft: oobleft(lval),
one_or_both: one_or_both(A;B),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
oobleft: oobleft(lval),
one_or_both: one_or_both(A;B),
uall: ∀[x:A]. B[x],
member: t ∈ T
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
isect_memberFormation,
introduction,
cut,
inrEquality,
inlEquality,
hypothesisEquality,
productEquality,
thin,
sqequalHypSubstitution,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
isect_memberEquality,
isectElimination,
because_Cache,
universeEquality
Latex:
\mforall{}[A,B:Type]. \mforall{}[lval:A]. (oobleft(lval) \mmember{} one\_or\_both(A;B))
Date html generated:
2016_05_15-PM-05_31_52
Last ObjectModification:
2015_12_27-PM-02_09_47
Theory : general
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