Nuprl Lemma : es-interface-image-val
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A:Type]. ∀[f:Top]. ∀[Ia:EClass(A)]. ∀[e:E]. f'Ia(e) ~ f Ia(e) supposing ↑e ∈b Ia
Proof
Definitions occuring in Statement :
es-interface-image: f'Ia,
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
apply: f a,
universe: Type,
sqequal: s ~ t
Lemmas :
es-E_wf,
event-ordering+_subtype,
eclass_wf,
top_wf,
event-ordering+_wf,
assert_wf,
in-eclass_wf,
es-interface-subtype_rel2,
bag_wf,
eq_int_wf,
bag-size_wf,
nat_wf,
only-bag-map,
assert_of_eq_int
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A:Type]. \mforall{}[f:Top]. \mforall{}[Ia:EClass(A)]. \mforall{}[e:E].
f'Ia(e) \msim{} f Ia(e) supposing \muparrow{}e \mmember{}\msubb{} Ia
Date html generated:
2015_07_17-PM-01_05_45
Last ObjectModification:
2015_01_27-PM-10_37_44
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