Nuprl Lemma : ranked-eo-base-E
∀[L,rk:Top]. (es-base-E(ranked-eo(L;rk)) ~ i:Id × ℕ||L i||)
Proof
Definitions occuring in Statement :
ranked-eo: ranked-eo(L;rk),
es-base-E: es-base-E(es),
Id: Id,
length: ||as||,
int_seg: {i..j-},
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
product: x:A × B[x],
natural_number: $n,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
btrue: tt,
mk-eo-record: mk-eo-record(E;dom;l;R;locless;pred;rank),
mk-eo: mk-eo(E;dom;l;R;locless;pred;rank),
bfalse: ff,
ifthenelse: if b then t else f fi ,
eq_atom: x =a y,
top: Top,
member: t ∈ T,
all: ∀x:A. B[x],
mk-extended-eo: mk-extended-eo,
es-base-E: es-base-E(es),
ranked-eo: ranked-eo(L;rk)
Latex:
\mforall{}[L,rk:Top]. (es-base-E(ranked-eo(L;rk)) \msim{} i:Id \mtimes{} \mBbbN{}||L i||)
Date html generated:
2016_05_17-AM-08_41_32
Last ObjectModification:
2015_12_28-PM-10_49_57
Theory : event-ordering
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