Nuprl Lemma : es-hist-iseg
∀[Info:Type]
∀es:EO+(Info). ∀e1,e2,e:E. e ≤loc e2 ⇒ es-hist(es;e1;e) ≤ es-hist(es;e1;e2) supposing loc(e2) = loc(e1) ∈ Id
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-loc: loc(e),
es-E: E,
Id: Id,
iseg: l1 ≤ l2,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
uimplies: b supposing a,
member: t ∈ T,
implies: P ⇒ Q,
es-hist: es-hist(es;e1;e2),
subtype_rel: A ⊆r B,
prop: ℙ,
decidable: Dec(P),
or: P ∨ Q,
guard: {T},
iff: P ⇐⇒ Q,
and: P ∧ Q,
rev_implies: P ⇐ Q,
not: ¬A,
false: False
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}e1,e2,e:E.
e \mleq{}loc e2 {}\mRightarrow{} es-hist(es;e1;e) \mleq{} es-hist(es;e1;e2) supposing loc(e2) = loc(e1)
Date html generated:
2016_05_16-PM-01_19_15
Last ObjectModification:
2015_12_29-PM-01_58_03
Theory : event-ordering
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