Nuprl Lemma : parameter-class-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[T:Type]. ∀[p:Id ─→ T]. ∀[e:E].
Parameter(p;X)(e) = (p loc(e)) ∈ T supposing ↑e ∈b Parameter(p;X)
Proof
Definitions occuring in Statement :
es-parameter-class: Parameter(p;X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
function: x:A ─→ B[x],
universe: Type,
equal: s = t ∈ T
Lemmas :
eq_int_wf,
bag-size_wf,
top_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
bag_size_single_lemma,
bag_only_single_lemma,
es-loc_wf,
event-ordering+_subtype,
true_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
bag_size_empty_lemma,
false_wf,
es-parameter-class_wf,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X:EClass(Top)]. \mforall{}[T:Type]. \mforall{}[p:Id {}\mrightarrow{} T]. \mforall{}[e:E].
Parameter(p;X)(e) = (p loc(e)) supposing \muparrow{}e \mmember{}\msubb{} Parameter(p;X)
Date html generated:
2015_07_17-PM-01_03_26
Last ObjectModification:
2015_01_27-PM-10_38_51
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