Nuprl Lemma : es-interface-union-left
∀[Info,A:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(Top)]. left(X+Y) = X ∈ EClass(A) supposing Singlevalued(X)
Proof
Definitions occuring in Statement :
es-interface-union: X+Y,
es-interface-left: left(X),
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 :
in-eclass_wf,
es-interface-subtype_rel2,
top_wf,
es-E_wf,
event-ordering+_subtype,
bool_wf,
eqtt_to_assert,
bag_size_single_lemma,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
bag_size_empty_lemma,
sv-class_wf,
event-ordering+_wf,
eclass_wf,
assert_of_eq_int,
bag-size_wf,
nat_wf,
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,
reduce_hd_cons_lemma,
filter_cons_lemma,
filter_nil_lemma,
map_cons_lemma,
map_nil_lemma,
cons_wf,
nil_wf,
list-subtype-bag,
sv-class-iff,
bag_wf,
empty-bag_wf,
iff_weakening_equal,
ite_rw_false,
eq_int_wf
Latex:
\mforall{}[Info,A:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(Top)]. left(X+Y) = X supposing Singlevalued(X)
Date html generated:
2015_07_20-PM-03_19_58
Last ObjectModification:
2015_02_04-PM-05_28_45
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