Nuprl Lemma : es-le-before-not-null
∀[es:EO]. ∀[e:E]. (null(≤loc(e)) ~ ff)
Proof
Definitions occuring in Statement :
es-le-before: ≤loc(e),
es-E: E,
event_ordering: EO,
null: null(as),
bfalse: ff,
uall: ∀[x:A]. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
es-le-before: ≤loc(e),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
prop: ℙ,
top: Top,
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
false: False,
all: ∀x:A. B[x],
uiff: uiff(P;Q),
not: ¬A,
rev_implies: P ⇐ Q,
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
sq_type: SQType(T),
guard: {T}
Latex:
\mforall{}[es:EO]. \mforall{}[e:E]. (null(\mleq{}loc(e)) \msim{} ff)
Date html generated:
2016_05_16-AM-09_30_31
Last ObjectModification:
2015_12_28-PM-09_49_35
Theory : new!event-ordering
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