Nuprl Lemma : es-E-interfaces-strong-subtype
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. uiff(E(X) ⊆r E(Y);strong-subtype(E(X);E(Y)))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
strong-subtype: strong-subtype(A;B),
uiff: uiff(P;Q),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
universe: Type
Lemmas :
strong-subtype_witness,
subtype_rel_wf,
es-E-interface_wf,
strong-subtype_wf,
eclass_wf,
top_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
exists_wf,
equal_wf,
and_wf,
in-eclass_wf,
assert_elim,
subtype_base_sq,
bool_wf,
bool_subtype_base,
assert_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)]. uiff(E(X) \msubseteq{}r E(Y);strong-subtype(E(X);E(Y)))
Date html generated:
2015_07_17-PM-00_56_20
Last ObjectModification:
2015_01_27-PM-10_49_25
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