Nuprl Lemma : es-init-forward
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[e',e:E]. es-init(es.e';e) = e' ∈ E supposing e' ≤loc e
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-init: es-init(es;e),
es-le: e ≤loc e' ,
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
es-causl-swellfnd,
nat_properties,
less_than_transitivity1,
less_than_irreflexivity,
ge_wf,
less_than_wf,
es-le_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,
decidable__assert,
es-first_wf2,
member-eo-forward-E,
equal_wf,
decidable__lt,
not-equal-2,
le-add-cancel-alt,
not-le-2,
sq_stable__le,
add-mul-special,
zero-mul,
event-ordering+_subtype,
es-E_wf,
event-ordering+_wf,
eo-forward-first2,
es-loc_wf,
Id_wf,
eo-forward_wf,
es-init-elim,
es-init-elim2,
es-le-pred,
es-pred-causl,
assert_wf,
eo-forward-trivial,
event_ordering_wf,
btrue_neq_bfalse,
es-locl-first,
assert_elim,
assert_functionality_wrt_uiff,
es-pred_wf,
iff_weakening_equal,
eo-forward-pred,
true_wf,
squash_wf,
member_wf,
and_wf,
es-le-self,
not_wf,
assert-eo-forward-first
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[e',e:E]. es-init(es.e';e) = e' supposing e' \mleq{}loc e
Date html generated:
2015_07_17-PM-00_05_51
Last ObjectModification:
2015_07_16-AM-09_44_51
Home
Index