Nuprl Lemma : es-le-interface-val
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀e:E.
le(X)(e) ≤loc e ∧ (↑le(X)(e) ∈b X) ∧ (∀e'':E. (e'' ≤loc e ⇒ (le(X)(e) <loc e'') ⇒ (¬↑e'' ∈b X)))
supposing ↑e ∈b le(X)
Proof
Definitions occuring in Statement :
es-le-interface: le(X),
eclass-val: X(e),
in-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-locl: (e <loc e'),
es-E: E,
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
not: ¬A,
implies: P ⇒ Q,
and: P ∧ Q,
universe: Type
Lemmas :
assert_witness,
in-eclass_wf,
es-le-interface_wf,
top_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
subtype_top,
es-E-interface_wf,
es-local-le-pred-property,
assert_wf,
eclass_wf
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E.
le(X)(e) \mleq{}loc e
\mwedge{} (\muparrow{}le(X)(e) \mmember{}\msubb{} X)
\mwedge{} (\mforall{}e'':E. (e'' \mleq{}loc e {}\mRightarrow{} (le(X)(e) <loc e'') {}\mRightarrow{} (\mneg{}\muparrow{}e'' \mmember{}\msubb{} X)))
supposing \muparrow{}e \mmember{}\msubb{} le(X)
Date html generated:
2015_07_21-PM-02_46_48
Last ObjectModification:
2015_01_27-PM-07_35_50
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