Nuprl Lemma : assert-test-msg-header-and-loc
∀[f:Name ─→ Type]
∀msg:Message(f). ∀hdr:Name. ∀loc:Id.
uiff(↑test-msg-header-and-loc(msg;hdr;loc);(msg-header(msg) = hdr ∈ Name) ∧ (loc = (fst(msg-body(msg))) ∈ Id))
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,
msg-body: msg-body(msg),
msg-header: msg-header(m),
Message: Message(f),
Id: Id,
name: Name,
assert: ↑b,
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
pi1: fst(t),
all: ∀x:A. B[x],
and: P ∧ Q,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
msg-body_wf2,
Id_wf,
top_wf,
subtype_rel-equal,
msg-type_wf,
iff_weakening_equal,
subtype_rel_transitivity,
assert-eq-id,
assert_wf,
eq_id_wf,
assert_witness,
name_wf,
false_wf,
msg-header_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]
\mforall{}msg:Message(f). \mforall{}hdr:Name. \mforall{}loc:Id.
uiff(\muparrow{}test-msg-header-and-loc(msg;hdr;loc);(msg-header(msg) = hdr)
\mwedge{} (loc = (fst(msg-body(msg)))))
supposing hdr encodes Id \mtimes{} Top
Date html generated:
2015_07_21-PM-04_49_31
Last ObjectModification:
2015_02_04-PM-05_08_56
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