Nuprl Lemma : CLK_Clock-classrel
∀[MsgType:ValueAllType]. ∀[f:CLK_headers_type{i:l}(MsgType)].
∀es:EO+(Message(f)). ∀e:E. ∀v:ℤ. (v ∈ CLK_Clock(MsgType;f)(e) ⇐⇒ v = CLK_ClockVal(MsgType;f)@e ∈ ℤ)
Proof
Definitions occuring in Statement :
CLK_ClockFun: CLK_ClockVal(MsgType;f)@e,
CLK_Clock: CLK_Clock(MsgType;f),
CLK_headers_type: CLK_headers_type{i:l}(MsgType),
Message: Message(f),
classrel: v ∈ X(e),
event-ordering+: EO+(Info),
es-E: E,
vatype: ValueAllType,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
int: ℤ,
equal: s = t ∈ 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,
classrel-classfun,
CLK_Clock-functional,
classrel_wf,
CLK_Clock_wf,
equal-wf-base-T,
int_subtype_base,
CLK_ClockFun_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Message_wf,
subtype_rel_dep_function,
vatype_wf,
CLK_headers_type_wf,
set_wf,
valueall-type_wf
Latex:
\mforall{}[MsgType:ValueAllType]. \mforall{}[f:CLK\_headers\_type\{i:l\}(MsgType)].
\mforall{}es:EO+(Message(f)). \mforall{}e:E. \mforall{}v:\mBbbZ{}. (v \mmember{} CLK\_Clock(MsgType;f)(e) \mLeftarrow{}{}\mRightarrow{} v = CLK\_ClockVal(MsgType;f)@e)
Date html generated:
2015_07_23-PM-04_09_54
Last ObjectModification:
2015_02_04-AM-07_48_34
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