Nuprl Lemma : es-E-interface-image
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[A,B:Type]. ∀[f:A ─→ B]. ∀[Ia:EClass(A)]. ((E(f'Ia) ⊆r E(Ia)) ∧ (E(Ia) ⊆r E(f'Ia)))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
es-interface-image: f'Ia,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
and: P ∧ Q,
function: x:A ─→ B[x],
universe: Type
Lemmas :
es-E-interface_functionality,
es-interface-image_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
es-is-interface-image,
assert_wf,
in-eclass_wf,
eclass_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[A,B:Type]. \mforall{}[f:A {}\mrightarrow{} B]. \mforall{}[Ia:EClass(A)].
((E(f'Ia) \msubseteq{}r E(Ia)) \mwedge{} (E(Ia) \msubseteq{}r E(f'Ia)))
Date html generated:
2015_07_17-PM-01_02_28
Last ObjectModification:
2015_01_27-PM-10_40_48
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