Nuprl Lemma : CLK_messages-delivered_wf
∀[MsgType:ValueAllType]. ∀[locs:bag(Id)]. ∀[reply:Id ─→ MsgType ─→ (MsgType × Id)]. ∀[f:CLK_headers_type{i:l}(MsgType)].
(CLK_messages-delivered{i:l}(MsgType;locs;reply;f) ∈ ℙ')
Proof
Definitions occuring in Statement :
CLK_messages-delivered: CLK_messages-delivered{i:l}(MsgType;locs;reply;f),
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
Id: Id,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
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,
msgs-interface-delivered_wf,
CLK_main_wf,
CLK_headers_type_wf,
bag_wf,
Id_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[MsgType:ValueAllType]. \mforall{}[locs:bag(Id)]. \mforall{}[reply:Id {}\mrightarrow{} MsgType {}\mrightarrow{} (MsgType \mtimes{} Id)].
\mforall{}[f:CLK\_headers\_type\{i:l\}(MsgType)].
(CLK\_messages-delivered\{i:l\}(MsgType;locs;reply;f) \mmember{} \mBbbP{}')
Date html generated:
2015_07_23-PM-04_10_15
Last ObjectModification:
2015_02_04-PM-02_01_34
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