Nuprl Lemma : retrace_wf
∀[Info:Type]. ∀[es:EO+(Info)]. ∀[Q:E ⟶ E ⟶ ℙ]. ∀[X:EClass(Top)]. (retrace(es;Q;X) ∈ ℙ)
Proof
Definitions occuring in Statement :
retrace: retrace(es;Q;X),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
uall: ∀[x:A]. B[x],
top: Top,
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
so_apply: x[s1;s2],
so_lambda: λ2x y.t[x; y],
exists: ∃x:A. B[x],
rev_implies: P ⇐ Q,
iff: P ⇐⇒ Q,
or: P ∨ Q,
es-E-interface: E(X),
all: ∀x:A. B[x],
so_apply: x[s],
implies: P ⇒ Q,
so_lambda: λ2x.t[x],
subtype_rel: A ⊆r B,
and: P ∧ Q,
prop: ℙ,
member: t ∈ T,
uall: ∀[x:A]. B[x],
retrace: retrace(es;Q;X)
Latex:
\mforall{}[Info:Type]. \mforall{}[es:EO+(Info)]. \mforall{}[Q:E {}\mrightarrow{} E {}\mrightarrow{} \mBbbP{}]. \mforall{}[X:EClass(Top)]. (retrace(es;Q;X) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-08_06_51
Last ObjectModification:
2015_12_28-PM-11_15_42
Theory : event-ordering
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