Nuprl Lemma : base-process-class_wf
∀[f:Name ─→ Type]. ∀[Info,T:Type]. ∀[X:EClass(T)]. ∀[loc:Id]. ∀[hdr:Name].
base-process-class(X;loc;hdr) ∈ EClass(T) supposing hdr encodes Id × Info
Proof
Definitions occuring in Statement :
base-process-class: base-process-class(X;loc;hdr),
encodes-msg-type: hdr encodes T,
Message: Message(f),
eclass: EClass(A[eo; e]),
Id: Id,
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
base-process-inputs_wf,
test-msg-header-and-loc_wf,
es-info_wf,
subtype_rel_product,
Id_wf,
top_wf,
subtype_rel_transitivity,
bool_wf,
eqtt_to_assert,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
es-E_wf,
event-ordering+_subtype,
Message_wf,
event-ordering+_wf,
encodes-msg-type_wf,
name_wf,
eclass_wf,
base-process-inputs-non-null,
list_wf,
class-ap_wf,
list-eo_wf,
assert_of_lt_int,
assert_wf,
lt_int_wf,
length_wf,
list-eo-E,
subtype_rel_list,
subtract_wf,
decidable__le,
false_wf,
not-le-2,
less-iff-le,
condition-implies-le,
minus-one-mul,
zero-add,
minus-add,
minus-minus,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
subtract-is-less,
lelt_wf,
less_than_wf,
empty-bag_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[Info,T:Type]. \mforall{}[X:EClass(T)]. \mforall{}[loc:Id]. \mforall{}[hdr:Name].
base-process-class(X;loc;hdr) \mmember{} EClass(T) supposing hdr encodes Id \mtimes{} Info
Date html generated:
2015_07_21-PM-04_49_41
Last ObjectModification:
2015_01_28-AM-08_45_04
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