Nuprl Lemma : es-interval-eq2
∀[es:EO]. ∀[e,e':E]. [e, e'] ~ [e'] supposing e = e' ∈ E
Proof
Definitions occuring in Statement :
es-interval: [e, e'],
es-E: E,
event_ordering: EO,
cons: [a / b],
nil: [],
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
sqequal: s ~ t,
equal: s = t ∈ T
Lemmas :
filter_is_nil,
es-E_wf,
es-ble_wf,
es-before_wf,
nil_wf,
l_all_iff,
l_member_wf,
not_wf,
assert_wf,
member-es-before,
assert-es-ble,
es-locl_transitivity2,
es-le_weakening_eq,
es-locl_irreflexivity,
filter_wf5,
list_wf,
list-cases,
product_subtype_list,
equal-wf-base,
equal-wf-T-base,
cons_wf,
null_cons_lemma,
bfalse_wf,
and_wf,
equal_wf,
null_wf3,
subtype_rel_list,
top_wf,
null_nil_lemma,
btrue_wf,
btrue_neq_bfalse,
event_ordering_wf,
bool_wf,
es-le_wf,
bnot_wf,
es-le-self,
list_ind_nil_lemma,
filter_cons_lemma,
filter_nil_lemma,
iff_transitivity,
iff_weakening_uiff,
eqtt_to_assert,
eqff_to_assert,
assert_of_bnot
\mforall{}[es:EO]. \mforall{}[e,e':E]. [e, e'] \msim{} [e'] supposing e = e'
Date html generated:
2015_07_17-AM-08_42_17
Last ObjectModification:
2015_01_27-PM-02_39_52
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