Nuprl Lemma : primed-class-pred
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[e:E].
Prior(X) es e ~ if 0 <z #(X es pred(e)) then X es pred(e) else Prior(X) es pred(e) fi supposing ¬↑first(e)
Proof
Definitions occuring in Statement :
primed-class: Prior(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-first: first(e),
es-pred: pred(e),
es-E: E,
assert: ↑b,
ifthenelse: if b then t else f fi ,
lt_int: i <z j,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
not: ¬A,
apply: f a,
natural_number: $n,
universe: Type,
sqequal: s ~ t,
bag-size: #(bs)
Lemmas :
primed-class-cases,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
eqff_to_assert,
assert_of_bnot,
not_wf,
assert_wf,
es-first_wf2,
event-ordering+_subtype,
es-E_wf,
eclass_wf,
top_wf,
event-ordering+_wf
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[e:E].
Prior(X) es e \msim{} if 0 <z \#(X es pred(e)) then X es pred(e) else Prior(X) es pred(e) fi
supposing \mneg{}\muparrow{}first(e)
Date html generated:
2015_07_21-PM-03_20_34
Last ObjectModification:
2015_01_27-PM-06_44_47
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