Nuprl Lemma : CLK_Reply-program_wf
∀[MsgType:ValueAllType]. ∀[reply:Id ─→ MsgType ─→ (MsgType × Id)]. ∀[f:CLK_headers_type{i:l}(MsgType)].
(CLK_Reply-program(MsgType;reply;f) ∈ LocalClass(CLK_Reply(MsgType;reply;f)))
Proof
Definitions occuring in Statement :
CLK_Reply-program: CLK_Reply-program(MsgType;reply;f),
CLK_Reply: CLK_Reply(MsgType;reply;f),
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
msg-interface: Interface,
Message: Message(f),
local-class: LocalClass(X),
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x]
Lemmas :
int_seg_wf,
length_wf,
name_wf,
CLK_headers_wf,
l_all_iff,
l_member_wf,
equal_wf,
CLK_headers_fun_wf,
cons_wf_listp,
cons_wf,
nil_wf,
listp_wf,
cons_member,
iff_weakening_equal,
subtype_rel_dep_function,
vatype_wf,
eclass2-program_wf,
eclass1-program_wf,
function-valueall-type,
valueall-type-value-type,
bag_wf,
bag-valueall-type,
product-valueall-type,
int-valueall-type,
Id-valueall-type,
Message-valueall-type,
CLK_headers_type_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[MsgType:ValueAllType]. \mforall{}[reply:Id {}\mrightarrow{} MsgType {}\mrightarrow{} (MsgType \mtimes{} Id)].
\mforall{}[f:CLK\_headers\_type\{i:l\}(MsgType)].
(CLK\_Reply-program(MsgType;reply;f) \mmember{} LocalClass(CLK\_Reply(MsgType;reply;f)))
Date html generated:
2015_07_23-PM-04_10_02
Last ObjectModification:
2015_02_04-PM-02_01_59
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