Nuprl Lemma : es-cut-at-property1
∀[Info:Type]
∀es:EO+(Info). ∀X:EClass(Top). ∀f:sys-antecedent(es;X). ∀c:Cut(X;f). ∀i:Id.
(no_repeats(E(X);c(i)) ∧ sorted-by(λx,y. x ≤loc y ;c(i)))
Proof
Definitions occuring in Statement :
es-cut-at: c(i),
es-cut: Cut(X;f),
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-le: e ≤loc e' ,
Id: Id,
sorted-by: sorted-by(R;L),
no_repeats: no_repeats(T;l),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
and: P ∧ Q,
lambda: λx.A[x],
universe: Type
Definitions unfolded in proof :
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
and: P ∧ Q,
es-cut-at: c(i),
es-E-interface: E(X),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
member: t ∈ T,
es-cut: Cut(X;f),
all: ∀x:A. B[x],
uall: ∀[x:A]. B[x]
Latex:
\mforall{}[Info:Type]
\mforall{}es:EO+(Info). \mforall{}X:EClass(Top). \mforall{}f:sys-antecedent(es;X). \mforall{}c:Cut(X;f). \mforall{}i:Id.
(no\_repeats(E(X);c(i)) \mwedge{} sorted-by(\mlambda{}x,y. x \mleq{}loc y ;c(i)))
Date html generated:
2016_05_17-AM-07_30_13
Last ObjectModification:
2015_12_28-PM-11_46_46
Theory : event-ordering
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