Nuprl Lemma : sequence-class_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[Z:EClass(A)]. (sequence-class(X;Y;Z) ∈ EClass(A))
Proof
Definitions occuring in Statement :
sequence-class: sequence-class(X;Y;Z)
,
eclass: EClass(A[eo; e])
,
uall: ∀[x:A]. B[x]
,
member: t ∈ T
,
universe: Type
Lemmas :
es-first-event_wf,
es-le_wf,
bnot_wf,
member-eclass_wf,
bool_wf,
eqtt_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
eqff_to_assert,
assert-bnot,
or_wf,
sq_exists_wf,
assert_wf,
all_wf,
es-locl_wf,
not_wf,
squash_wf,
class-ap_wf,
eo-forward_wf,
member-eo-forward-E,
Id_wf,
es-loc_wf,
es-E_wf,
event-ordering+_subtype,
eclass_wf,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[Z:EClass(A)].
(sequence-class(X;Y;Z) \mmember{} EClass(A))
Date html generated:
2015_07_21-PM-03_04_35
Last ObjectModification:
2015_01_27-PM-07_23_54
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