Nuprl Lemma : latest-pair_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ((X&Y) ∈ EClass(A × B))
Proof
Definitions occuring in Statement :
latest-pair: (X&Y),
eclass: EClass(A[eo; e]),
uall: ∀[x:A]. B[x],
member: t ∈ T,
product: x:A × B[x],
universe: Type
Lemmas :
eclass-compose4_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
single-bag_wf,
bag-only_wf2,
single-valued-bag-if-le1,
le_weakening,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
add-commutes,
zero-add,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
not-equal-2,
empty-bag_wf,
bag_wf,
primed-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. ((X\&Y) \mmember{} EClass(A \mtimes{} B))
Date html generated:
2015_07_21-PM-03_45_33
Last ObjectModification:
2015_01_27-PM-06_25_39
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