Nuprl Lemma : es-interface-or-left-property
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(Top)].
es-interface-or-left((X | Y)) = X ∈ EClass(A) supposing Singlevalued(X)
Proof
Definitions occuring in Statement :
es-interface-or-left: es-interface-or-left(X),
es-interface-or: (X | Y),
sv-class: Singlevalued(X),
eclass: EClass(A[eo; e]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type,
equal: s = t ∈ T
Lemmas :
eq_int_wf,
bag-size_wf,
bool_wf,
eqtt_to_assert,
assert_of_eq_int,
nat_wf,
bag_size_single_lemma,
bag_only_single_lemma,
bag-size-one,
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,
one_or_both_ind_oobboth_lemma,
single-bag_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_int,
not-equal-2,
top_wf,
one_or_both_oobleft_lemma,
one_or_both_ind_oobright_lemma,
bag-size-zero,
empty-bag_wf,
bag_size_empty_lemma,
es-E_wf,
event-ordering+_subtype,
sv-class_wf,
event-ordering+_wf,
eclass_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(Top)].
es-interface-or-left((X | Y)) = X supposing Singlevalued(X)
Date html generated:
2015_07_20-PM-03_24_54
Last ObjectModification:
2015_01_27-PM-10_23_45
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