Nuprl Lemma : cond-class-subtype1
∀[Info,A:Type]. ∀[X,Y:EClass(A)]. ∀[es:EO+(Info)]. (E(X) ⊆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 :
assert_wf,
in-eclass_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
event-ordering+_wf,
eclass_wf,
is-cond-class
\mforall{}[Info,A:Type]. \mforall{}[X,Y:EClass(A)]. \mforall{}[es:EO+(Info)]. (E(X) \msubseteq{}r E([X?Y]))
Date html generated:
2015_07_17-PM-00_52_33
Last ObjectModification:
2015_01_27-PM-11_02_44
Home
Index