Nuprl Lemma : cond-msg-body-cbva
∀[f:Name ⟶ Type]. ∀[hdr:Name]. ∀[msg:Message(f)]. ∀[G:Top].
let x ⟵ cond-msg-body(hdr;msg) in G[x] ~ G[cond-msg-body(hdr;msg)] supposing valueall-type(f hdr)
Proof
Definitions occuring in Statement :
cond-msg-body: cond-msg-body(hdr;msg),
Message: Message(f),
name: Name,
valueall-type: valueall-type(T),
callbyvalueall: callbyvalueall,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
so_apply: x[s],
apply: f a,
function: x:A ⟶ B[x],
universe: Type,
sqequal: s ~ t
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
callbyvalueall: callbyvalueall,
has-value: (a)↓,
has-valueall: has-valueall(a)
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[msg:Message(f)]. \mforall{}[G:Top].
let x \mleftarrow{}{} cond-msg-body(hdr;msg) in G[x] \msim{} G[cond-msg-body(hdr;msg)] supposing valueall-type(f hdr)
Date html generated:
2016_05_17-AM-08_52_11
Last ObjectModification:
2015_12_29-PM-02_55_41
Theory : messages
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