Nuprl Lemma : es-E-interface_functionality
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X,Y:EClass(Top)]. E(X) ⊆r E(Y) supposing ∀e:E. ((↑e ∈b X) ⇒ (↑e ∈b Y))
Proof
Definitions occuring in Statement :
es-E-interface: E(X),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
universe: Type
Lemmas :
subtype_rel_sets,
es-E_wf,
event-ordering+_subtype,
assert_wf,
in-eclass_wf,
all_wf,
eclass_wf,
top_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[X,Y:EClass(Top)].
E(X) \msubseteq{}r E(Y) supposing \mforall{}e:E. ((\muparrow{}e \mmember{}\msubb{} X) {}\mRightarrow{} (\muparrow{}e \mmember{}\msubb{} Y))
Date html generated:
2015_07_17-PM-00_56_37
Last ObjectModification:
2015_01_27-PM-10_47_35
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