Nuprl Lemma : cond-class-subtype2
∀[Info,A:Type]. ∀[X,Y:EClass(A)]. ∀[es:EO+(Info)]. (E(Y) ⊆r E([X?Y]))
Proof
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
,
uall: ∀[x:A]. B[x]
,
universe: Type
Lemmas :
event-ordering+_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
assert_wf,
in-eclass_wf,
is-cond-class,
es-interface-subtype_rel2,
top_wf,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-E-interface_wf
\mforall{}[Info,A:Type]. \mforall{}[X,Y:EClass(A)]. \mforall{}[es:EO+(Info)]. (E(Y) \msubseteq{}r E([X?Y]))
Date html generated:
2015_07_17-PM-00_52_41
Last ObjectModification:
2015_01_27-PM-11_02_15
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