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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