Nuprl Lemma : es-interface-match_wf
∀[Info,Ta,Tb:Type]. ∀[A:EClass(Ta)]. ∀[B:EClass(Tb)]. ∀[R:Ta ─→ Tb ─→ 𝔹]. (es-interface-match(A;B;R) ∈ EClass(Ta × Tb))
Proof
Definitions occuring in Statement :
es-interface-match: es-interface-match(A;B;R),
eclass: EClass(A[eo; e]),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
product: x:A × B[x],
universe: Type
Lemmas :
eclass-compose2_wf,
list_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
find-first_wf,
bag-only_wf2,
single-valued-bag-if-le1,
le_weakening,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-commutes,
zero-add,
le-add-cancel,
add-zero,
l_member_wf,
single-bag_wf,
empty-bag_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
bag_wf,
primed-class_wf,
es-interface-unmatched_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf
Latex:
\mforall{}[Info,Ta,Tb:Type]. \mforall{}[A:EClass(Ta)]. \mforall{}[B:EClass(Tb)]. \mforall{}[R:Ta {}\mrightarrow{} Tb {}\mrightarrow{} \mBbbB{}].
(es-interface-match(A;B;R) \mmember{} EClass(Ta \mtimes{} Tb))
Date html generated:
2015_07_21-PM-03_26_35
Last ObjectModification:
2015_01_27-PM-06_42_19
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