Nuprl Lemma : es-prior-val-equal
∀[Info,T:Type]. ∀[X,Y:EClass(T)]. ∀[es:EO+(Info)]. ∀[e:E].
((X)' es e) = ((Y)' es e) ∈ bag(T) supposing ∀e':E. ((e' <loc e) ⇒ ((X es e') = (Y es e') ∈ bag(T)))
Proof
Definitions occuring in Statement :
es-prior-val: (X)',
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-locl: (e <loc e'),
es-E: E,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
implies: P ⇒ Q,
apply: f a,
universe: Type,
equal: s = t ∈ T,
bag: bag(T)
Lemmas :
assert_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
assert_functionality_wrt_uiff,
squash_wf,
true_wf,
bag_wf,
iff_wf,
es-locl_wf,
es-E_wf,
event-ordering+_subtype,
in-eclass_wf,
es-prior-interface_wf1,
es-interface-subtype_rel2,
event-ordering+_wf,
top_wf,
subtype_top,
es-E-interface_wf,
bool_wf,
equal-wf-T-base,
bnot_wf,
not_wf,
eqtt_to_assert,
uiff_transitivity,
eqff_to_assert,
assert_of_bnot,
es-prior-interface-val,
single-bag_wf,
es-locl-total,
es-prior-interface_wf0,
eclass_wf,
eclass-val_wf,
es-prior-interface_wf,
eclass-val_wf2,
equal_wf,
and_wf,
member_wf,
assert_elim,
subtype_base_sq,
bool_subtype_base,
bag-only_wf2,
single-valued-bag_wf,
less_than_wf,
assert_of_eq_int,
single-valued-bag-if-le1,
le_weakening,
decidable__lt,
false_wf,
le_antisymmetry_iff,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
es-is-prior-interface,
es-E-interface-property,
empty-bag_wf
Latex:
\mforall{}[Info,T:Type]. \mforall{}[X,Y:EClass(T)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
((X)' es e) = ((Y)' es e) supposing \mforall{}e':E. ((e' <loc e) {}\mRightarrow{} ((X es e') = (Y es e')))
Date html generated:
2015_07_21-PM-03_17_56
Last ObjectModification:
2015_01_27-PM-07_30_45
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