Nuprl Lemma : es-cut-at_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[X:EClass(Top)]. ∀[f:sys-antecedent(es;X)]. ∀[c:Cut(X;f)]. ∀[i:Id].
(c(i) ∈ {e:E(X)| loc(e) = i ∈ Id} List)
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-loc: loc(e),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
top: Top,
member: t ∈ T,
set: {x:A| B[x]} ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
es-E-interface: E(X),
uimplies: b supposing a,
es-cut: Cut(X;f),
subtype_rel: A ⊆r B,
es-cut-at: c(i),
member: t ∈ T,
uall: ∀[x:A]. B[x],
so_apply: x[s],
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
rev_implies: P ⇐ Q,
and: P ∧ Q,
iff: P ⇐⇒ Q,
prop: ℙ,
all: ∀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].
(c(i) \mmember{} \{e:E(X)| loc(e) = i\} List)
Date html generated:
2016_05_17-AM-07_29_36
Last ObjectModification:
2015_12_28-PM-11_47_28
Theory : event-ordering
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