Nuprl Lemma : es-hist-last
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e1,e2:E].
es-hist(es;e1;e2) = (es-hist(es;e1;pred(e2)) @ [info(e2)]) ∈ (Info List) supposing (e1 <loc e2)
Proof
Definitions occuring in Statement :
es-hist: es-hist(es;e1;e2),
es-info: info(e),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-pred: pred(e),
es-E: E,
append: as @ bs,
cons: [a / b],
nil: [],
list: T List,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
prop: ℙ,
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
es-hist: es-hist(es;e1;e2),
top: Top
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e1,e2:E].
es-hist(es;e1;e2) = (es-hist(es;e1;pred(e2)) @ [info(e2)]) supposing (e1 <loc e2)
Date html generated:
2016_05_16-PM-01_19_38
Last ObjectModification:
2015_12_29-PM-01_58_37
Theory : event-ordering
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