Nuprl Lemma : strictness-isatom1
∀[a,b:Top]. (isatom1(⊥;a;b) ~ ⊥)
Proof
Definitions occuring in Statement :
bottom: ⊥,
uall: ∀[x:A]. B[x],
top: Top,
isatom1: isatom1(z;a;b),
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
has-value: (a)↓,
not: ¬A,
implies: P ⇒ Q,
false: False,
top: Top
Lemmas referenced :
top_wf,
bottom-sqle,
is-exception_wf,
has-value_wf_base,
exception-not-bottom,
bottom_diverge
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalSqle,
sqleRule,
thin,
divergentSqle,
callbyvalueIsatom1,
sqequalHypSubstitution,
hypothesis,
lemma_by_obid,
independent_functionElimination,
voidElimination,
isatom1ExceptionCases,
axiomSqleEquality,
baseClosed,
isectElimination,
sqequalRule,
baseApply,
closedConclusion,
hypothesisEquality,
sqleReflexivity,
isect_memberEquality,
voidEquality,
sqequalAxiom,
because_Cache
Latex:
\mforall{}[a,b:Top]. (isatom1(\mbot{};a;b) \msim{} \mbot{})
Date html generated:
2016_05_13-PM-03_43_58
Last ObjectModification:
2016_01_14-PM-07_07_23
Theory : computation
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