Nuprl Lemma : causal-invariant_wf
∀[Info:Type]. ∀[R:Id ─→ Id ─→ Info List+ ─→ Info List+ ─→ ℙ]. ∀[P:Id ─→ Info List+ ─→ ℙ].
(causal-invariant(i,L.P[i;L];a,b,L1,L2.R[a;b;L1;L2]) ∈ EO+(Info) ─→ ℙ)
Proof
Definitions occuring in Statement :
causal-invariant: causal-invariant(i,L.P[i; L];a,b,L1,L2.R[a; b; L1; L2]),
event-ordering+: EO+(Info),
Id: Id,
listp: A List+,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2;s3;s4],
so_apply: x[s1;s2],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
es-local-property_wf,
listp_wf,
Id_wf,
exists_wf,
es-causl_wf,
es-local-relation_wf,
event-ordering+_wf
\mforall{}[Info:Type]. \mforall{}[R:Id {}\mrightarrow{} Id {}\mrightarrow{} Info List\msupplus{} {}\mrightarrow{} Info List\msupplus{} {}\mrightarrow{} \mBbbP{}]. \mforall{}[P:Id {}\mrightarrow{} Info List\msupplus{} {}\mrightarrow{} \mBbbP{}].
(causal-invariant(i,L.P[i;L];a,b,L1,L2.R[a;b;L1;L2]) \mmember{} EO+(Info) {}\mrightarrow{} \mBbbP{})
Date html generated:
2015_07_17-PM-00_12_53
Last ObjectModification:
2015_01_28-AM-00_06_09
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