Nuprl Lemma : not-exception-has-value
∀[nm,val:Base]. ((exception(nm; val))↓ ⇒ False)
Proof
Definitions occuring in Statement :
has-value: (a)↓,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
false: False,
base: Base
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
false: False,
has-value: (a)↓,
uimplies: b supposing a,
prop: ℙ
Lemmas referenced :
is-exception_wf,
base_wf,
has-value_wf_base,
exception-not-value2
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
sqequalHypSubstitution,
sqequalRule,
lemma_by_obid,
isectElimination,
thin,
hypothesisEquality,
baseClosed,
independent_isectElimination,
independent_functionElimination,
hypothesis,
voidElimination,
baseApply,
closedConclusion,
lambdaEquality,
dependent_functionElimination,
because_Cache,
isect_memberEquality,
divergentSqle,
sqleReflexivity
Latex:
\mforall{}[nm,val:Base]. ((exception(nm; val))\mdownarrow{} {}\mRightarrow{} False)
Date html generated:
2016_05_13-PM-03_23_23
Last ObjectModification:
2016_01_14-PM-06_45_50
Theory : call!by!value_1
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