Nuprl Lemma : es-interface-predecessors-sorted-by-le
∀[Info:Type]. ∀es:EO+(Info). ∀X:EClass(Top). ∀e:E. sorted-by(λx,y. x ≤loc y ;≤(X)(e))
Proof
Definitions occuring in Statement :
es-interface-predecessors: ≤(X)(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
es-E: E,
sorted-by: sorted-by(R;L),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
lambda: λx.A[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
sorted-by: sorted-by(R;L),
es-le: e ≤loc e' ,
or: P ∨ Q,
es-locl: (e <loc e'),
and: P ∧ Q,
prop: ℙ,
int_seg: {i..j-},
es-E-interface: E(X),
guard: {T}
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}e:E. sorted-by(\mlambda{}x,y. x \mleq{}loc y ;\mleq{}(X)(e))
Date html generated:
2016_05_17-AM-06_58_17
Last ObjectModification:
2015_12_29-AM-00_16_01
Theory : event-ordering
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