Nuprl Lemma : es-happened-before_wf
∀[f:Name ─→ Type]. ∀[es:EO+(Message(f))]. ∀[S:EClass(Interface)]. ∀[e1,e2:E]. (e1 ─→ e2 ∈ ℙ)
Proof
Definitions occuring in Statement :
es-happened-before: e1 ─→ e2,
msg-interface: Interface,
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
name: Name,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-causl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
int_seg_wf,
int_seg_subtype-nat,
decidable__le,
subtract_wf,
false_wf,
not-ge-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
decidable__equal_int,
subtype_rel-int_seg,
le_weakening,
int_seg_properties,
le_wf,
nat_wf,
zero-le-nat,
lelt_wf,
es-causl_wf,
exists_wf,
not_wf,
equal_wf,
Id_wf,
es-loc_wf,
event-caused-by_wf,
or_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
es-E_wf,
event-ordering+_subtype,
Message_wf,
eclass_wf3,
msg-interface_wf,
event-ordering+_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[S:EClass(Interface)]. \mforall{}[e1,e2:E]. (e1 {}\mrightarrow{} e2 \mmember{} \mBbbP{})
Date html generated:
2015_07_22-PM-00_01_35
Last ObjectModification:
2015_01_28-AM-08_42_56
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