Nuprl Lemma : exception-not-bottom_1
∀[nm,val:Base]. ((exception(nm; val) ≤ ⊥) ⇒ False)
Proof
Definitions occuring in Statement :
bottom: ⊥,
uall: ∀[x:A]. B[x],
implies: P ⇒ Q,
false: False,
base: Base,
sqle: s ≤ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
implies: P ⇒ Q,
false: False,
prop: ℙ
Lemmas referenced :
sqle_wf_base,
base_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
lambdaFormation,
exceptionNotBottom,
hypothesis,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
sqequalRule,
baseApply,
closedConclusion,
baseClosed,
hypothesisEquality,
lambdaEquality,
dependent_functionElimination,
because_Cache,
isect_memberEquality,
voidElimination
Latex:
\mforall{}[nm,val:Base]. ((exception(nm; val) \mleq{} \mbot{}) {}\mRightarrow{} False)
Date html generated:
2019_06_20-AM-11_20_35
Last ObjectModification:
2018_08_07-PM-03_15_14
Theory : call!by!value_1
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