Nuprl Lemma : ranked-eo-causl
∀[L,rk,a,b:Top]. ((a < b) ~ ↓rk a < rk b)
Proof
Definitions occuring in Statement :
ranked-eo: ranked-eo(L;rk),
es-causl: (e < e'),
less_than: a < b,
uall: ∀[x:A]. B[x],
top: Top,
squash: ↓T,
apply: f a,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
infix_ap: x f y,
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-causl: (e < e'),
ranked-eo: ranked-eo(L;rk)
Latex:
\mforall{}[L,rk,a,b:Top]. ((a < b) \msim{} \mdownarrow{}rk a < rk b)
Date html generated:
2016_05_17-AM-08_42_42
Last ObjectModification:
2015_12_28-PM-10_49_32
Theory : event-ordering
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