Nuprl Lemma : CLK_mk_reply_wf
∀[MsgType:ValueAllType]. ∀[reply:Id ─→ MsgType ─→ (MsgType × Id)]. ∀[f:CLK_headers_type{i:l}(MsgType)].
(CLK_mk_reply(MsgType;reply;f) ∈ Id ─→ (MsgType × ℤ) ─→ ℤ ─→ bag(Interface))
Proof
Definitions occuring in Statement :
CLK_mk_reply: CLK_mk_reply(MsgType;reply;f),
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
msg-interface: Interface,
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
int: ℤ,
bag: bag(T)
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,
single-bag_wf,
msg-interface_wf,
CLK_msg'send_wf,
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\_mk\_reply(MsgType;reply;f) \mmember{} Id {}\mrightarrow{} (MsgType \mtimes{} \mBbbZ{}) {}\mrightarrow{} \mBbbZ{} {}\mrightarrow{} bag(Interface))
Date html generated:
2015_07_23-PM-04_09_59
Last ObjectModification:
2015_02_04-PM-02_02_02
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