Nuprl Lemma : assert-eo-forward-first
∀[Info:Type]. ∀eo:EO+(Info). ∀e:E. ∀e':E. uiff(↑first(e');(e' = e ∈ E) ∨ ((¬(loc(e') = loc(e) ∈ Id)) ∧ (↑first(e'))))
Proof
Definitions occuring in Statement :
eo-forward: eo.e,
event-ordering+: EO+(Info),
es-first: first(e),
es-loc: loc(e),
es-E: E,
Id: Id,
assert: ↑b,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
not: ¬A,
or: P ∨ Q,
and: P ∧ Q,
universe: Type,
equal: s = t ∈ T
Lemmas :
eo-forward-first,
eo-forward-E-subtype,
event-ordering+_subtype,
es-E_wf,
eo-forward_wf,
event-ordering+_wf,
eq_id_wf,
es-loc_wf,
bool_wf,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
equal_wf,
Id_wf,
eqtt_to_assert,
assert-eq-id,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
es-eq-E_wf,
assert-es-eq-E-2,
es-first_wf2,
true_wf,
or_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
false_wf,
assert_witness,
bool_cases,
eo-forward-loc,
and_wf
\mforall{}[Info:Type]
\mforall{}eo:EO+(Info). \mforall{}e:E. \mforall{}e':E. uiff(\muparrow{}first(e');(e' = e) \mvee{} ((\mneg{}(loc(e') = loc(e))) \mwedge{} (\muparrow{}first(e'))))
Date html generated:
2015_07_17-PM-00_05_17
Last ObjectModification:
2015_01_28-AM-00_14_48
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