Nuprl Lemma : es-p-locl_transitivity
∀es:EO. ∀p:E ─→ (E + Top). ∀a,b,c:E. (a p< b ⇒ b p< c ⇒ a p< c)
Proof
Definitions occuring in Statement :
es-p-locl: e p< e',
es-E: E,
event_ordering: EO,
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
function: x:A ─→ B[x],
union: left + right
Lemmas :
exists_wf,
nat_plus_wf,
p-graph_wf2,
es-E_wf,
p-fun-exp_wf,
nat_plus_subtype_nat,
top_wf,
event_ordering_wf,
can-apply-fun-exp-add-iff,
assert_elim,
can-apply_wf,
subtype_rel_dep_function,
subtype_rel_sum,
subtype_base_sq,
bool_wf,
bool_subtype_base,
and_wf,
equal_wf,
p-fun-exp-add-sq,
can-apply-fun-exp,
do-apply_wf,
squash_wf,
assert_wf
\mforall{}es:EO. \mforall{}p:E {}\mrightarrow{} (E + Top). \mforall{}a,b,c:E. (a p< b {}\mRightarrow{} b p< c {}\mRightarrow{} a p< c)
Date html generated:
2015_07_17-AM-09_07_28
Last ObjectModification:
2015_01_27-PM-00_49_12
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