Nuprl Lemma : l_before-es-before-iff
∀the_es:EO. ∀e,e',y:E. (e' before y ∈ before(e) ⇐⇒ (e' <loc y) ∧ (y <loc e))
Proof
Definitions occuring in Statement :
es-before: before(e),
es-locl: (e <loc e'),
es-E: E,
event_ordering: EO,
l_before: x before y ∈ l,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
and: P ∧ Q
Lemmas :
l_before-es-before,
l_before_member,
es-E_wf,
es-before_wf,
member-es-before,
all_wf,
es-locl_wf,
l_before_wf,
es-locl-first,
assert_elim,
btrue_neq_bfalse,
assert_wf,
es-first_wf2,
bool_wf,
equal-wf-T-base,
bnot_wf,
not_wf,
es-locl-wellfnd,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
l_before_append_iff,
es-pred_wf,
cons_wf,
nil_wf,
es-locl-iff,
cons_member,
l_member_wf,
squash_wf,
true_wf,
event_ordering_wf,
iff_weakening_equal,
es-pred-locl,
or_wf
\mforall{}the$_{es}$:EO. \mforall{}e,e',y:E. (e' before y \mmember{} before(e) \mLeftarrow{}{}\mRightarrow{} (e' <loc y) \mwedge{} (y <loc e\000C))
Date html generated:
2015_07_17-AM-08_40_33
Last ObjectModification:
2015_02_04-AM-07_07_59
Home
Index