Nuprl Lemma : es-E-interface-conditional-subtype_rel
[Info:Type]. [es:EO+(Info)]. [X,Y,Z:EClass(Top)]. (E([X?Y]) 
r E(Z)) supposing ((E(Y) r E(Z)) and (E(X) r E(Z)))
Proof not projected
Definitions occuring in Statement :
es-E-interface: E(X),
cond-class: [X?Y],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A r B,
uimplies: b supposing a,
uall: [x:A]. B[x],
top: Top,
universe: Type
Definitions :
true: True,
squash: 
T,
so_lambda: 
x y.t[x; y],
so_lambda: x.t[x],
implies: P 
Q,
all: x:A. B[x],
member: t 
T,
es-E-interface: E(X),
uimplies: b supposing a,
uall: [x:A]. B[x],
so_apply: x[s1;s2],
or: P 
Q,
so_apply: x[s],
prop: 
,
subtype: S T
Lemmas :
bool_wf,
true_wf,
squash_wf,
assert_elim,
event-ordering+_wf,
eclass_wf,
es-E-interface_wf,
is-interface-conditional-implies,
subtype_rel_self,
top_wf,
cond-class_wf,
in-eclass_wf,
assert_wf,
event-ordering+_inc,
es-E_wf,
subtype_rel_sets
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y,Z:EClass(Top)].
(E([X?Y]) \msubseteq{}r E(Z)) supposing ((E(Y) \msubseteq{}r E(Z)) and (E(X) \msubseteq{}r E(Z)))
Date html generated:
2012_01_23-PM-12_24_00
Last ObjectModification:
2011_12_13-PM-01_41_09
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