Nuprl Lemma : es-interval-non-zero
∀es:EO. ∀e,e':E. (e ≤loc e' ⇐⇒ 0 < ||[e, e']||)
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
length: ||as||,
less_than: a < b,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
natural_number: $n
Definitions unfolded in proof :
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q,
implies: P ⇒ Q,
member: t ∈ T,
prop: ℙ,
uall: ∀[x:A]. B[x],
rev_implies: P ⇐ Q,
uimplies: b supposing a,
ge: i ≥ j ,
decidable: Dec(P),
or: P ∨ Q,
le: A ≤ B,
satisfiable_int_formula: satisfiable_int_formula(fmla),
exists: ∃x:A. B[x],
false: False,
not: ¬A,
top: Top,
cand: A c∧ B,
subtype_rel: A ⊆r B,
listp: A List+,
guard: {T}
Latex:
\mforall{}es:EO. \mforall{}e,e':E. (e \mleq{}loc e' \mLeftarrow{}{}\mRightarrow{} 0 < ||[e, e']||)
Date html generated:
2016_05_16-AM-09_32_27
Last ObjectModification:
2016_01_17-PM-01_29_49
Theory : new!event-ordering
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