Nuprl Lemma : es-interval-last
∀[es:EO]. ∀[e2,e1:E]. last([e1, e2]) ~ e2 supposing e1 ≤loc e2
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-le: e ≤loc e' ,
es-E: E,
event_ordering: EO,
last: last(L),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
sqequal: s ~ t
Definitions unfolded in proof :
member: t ∈ T,
uall: ∀[x:A]. B[x],
uimplies: b supposing a,
prop: ℙ,
es-interval: [e, e'],
top: Top,
not: ¬A,
implies: P ⇒ Q,
false: False,
all: ∀x:A. B[x],
assert: ↑b,
ifthenelse: if b then t else f fi ,
bfalse: ff,
btrue: tt,
bool: 𝔹,
unit: Unit,
it: ⋅,
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q
Latex:
\mforall{}[es:EO]. \mforall{}[e2,e1:E]. last([e1, e2]) \msim{} e2 supposing e1 \mleq{}loc e2
Date html generated:
2016_05_16-AM-09_32_47
Last ObjectModification:
2015_12_28-PM-09_47_31
Theory : new!event-ordering
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