Nuprl Lemma : es-init-elim2
∀[es:EO]. ∀[e:E]. es-init(es;e) ~ es-init(es;pred(e)) supposing ¬↑first(e)
Proof
Definitions occuring in Statement :
es-init: es-init(es;e),
es-first: first(e),
es-pred: pred(e),
es-E: E,
event_ordering: EO,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
not: ¬A,
sqequal: s ~ t
Lemmas :
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
not_wf,
assert_wf,
es-first_wf2,
es-E_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[e:E]. es-init(es;e) \msim{} es-init(es;pred(e)) supposing \mneg{}\muparrow{}first(e)
Date html generated:
2015_07_17-AM-08_45_16
Last ObjectModification:
2015_01_27-PM-02_27_52
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