Nuprl Lemma : test-msg-header-and-loc_wf
∀[f:Name ⟶ Type]. ∀[msg:Message(f)]. ∀[hdr:Name]. ∀[loc:Id].
test-msg-header-and-loc(msg;hdr;loc) ∈ 𝔹 supposing hdr encodes Id × Top
Proof
Definitions occuring in Statement :
test-msg-header-and-loc: test-msg-header-and-loc(msg;hdr;loc),
encodes-msg-type: hdr encodes T,
Message: Message(f),
Id: Id,
name: Name,
bool: 𝔹,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
test-msg-header-and-loc: test-msg-header-and-loc(msg;hdr;loc),
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
band: p ∧b q,
ifthenelse: if b then t else f fi ,
uiff: uiff(P;Q),
and: P ∧ Q,
subtype_rel: A ⊆r B,
encodes-msg-type: hdr encodes T,
guard: {T},
msg-type: msg-type(msg;f),
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
bfalse: ff
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[msg:Message(f)]. \mforall{}[hdr:Name]. \mforall{}[loc:Id].
test-msg-header-and-loc(msg;hdr;loc) \mmember{} \mBbbB{} supposing hdr encodes Id \mtimes{} Top
Date html generated:
2016_05_17-AM-08_52_30
Last ObjectModification:
2015_12_29-PM-02_55_35
Theory : messages
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