Nuprl Lemma : map-cond-msg-body
∀[g,hdr,m:Top]. (map(g;cond-msg-body(hdr;m)) ~ if name_eq(msg-header(m);hdr) then {g msg-body(m)} else {} fi )
Proof
Definitions occuring in Statement :
cond-msg-body: cond-msg-body(hdr;msg),
msg-body: msg-body(msg),
msg-header: msg-header(m),
name_eq: name_eq(x;y),
map: map(f;as),
ifthenelse: if b then t else f fi ,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
sqequal: s ~ t,
single-bag: {x},
empty-bag: {}
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
cond-msg-body: cond-msg-body(hdr;msg),
top: Top,
bag-map: bag-map(f;bs),
all: ∀x:A. B[x]
Latex:
\mforall{}[g,hdr,m:Top].
(map(g;cond-msg-body(hdr;m)) \msim{} if name\_eq(msg-header(m);hdr) then \{g msg-body(m)\} else \{\} fi )
Date html generated:
2016_05_17-AM-08_52_09
Last ObjectModification:
2015_12_29-PM-02_55_57
Theory : messages
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