Nuprl Lemma : sys-antecedent-retraction
∀[Info:Type]. ∀es:EO+(Info). ∀Sys:EClass(Top). ∀f:sys-antecedent(es;Sys). retraction(E(Sys);f)
Proof
Definitions occuring in Statement :
sys-antecedent: sys-antecedent(es;Sys),
es-E-interface: E(X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
uall: ∀[x:A]. B[x],
top: Top,
all: ∀x:A. B[x],
universe: Type,
retraction: retraction(T;f)
Definitions unfolded in proof :
sys-antecedent: sys-antecedent(es;Sys),
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
member: t ∈ T,
prop: ℙ,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
es-E-interface: E(X),
so_apply: x[s],
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
sq_stable: SqStable(P),
implies: P ⇒ Q,
squash: ↓T,
guard: {T}
Latex:
\mforall{}[Info:Type]. \mforall{}es:EO+(Info). \mforall{}Sys:EClass(Top). \mforall{}f:sys-antecedent(es;Sys). retraction(E(Sys);f)
Date html generated:
2016_05_17-AM-08_03_13
Last ObjectModification:
2016_01_17-PM-02_43_34
Theory : event-ordering
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