Nuprl Lemma : correct-causal-class-relation_wf
∀[Correct:Id ─→ ℙ]. ∀[Info,A:Type]. ∀[R:A ─→ Info ─→ ℙ]. ∀[X:EClass(A)]. ∀[es:EO+(Info)].
(for every a in X at location i s.t. Correct[i] there is an earlier event with info=b such that R[a;b] ∈ ℙ)
Proof
Definitions occuring in Statement :
correct-causal-class-relation: for every a in X at location i s.t. Correct[i] there is an earlier event with info=b such that R[a; b],
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
uall: ∀[x:A]. B[x],
prop: ℙ,
so_apply: x[s1;s2],
so_apply: x[s],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
all_wf,
es-E_wf,
event-ordering+_subtype,
es-loc_wf,
classrel_wf,
squash_wf,
exists_wf,
es-causl_wf,
es-info_wf,
event-ordering+_wf,
eclass_wf,
Id_wf
\mforall{}[Correct:Id {}\mrightarrow{} \mBbbP{}]. \mforall{}[Info,A:Type]. \mforall{}[R:A {}\mrightarrow{} Info {}\mrightarrow{} \mBbbP{}]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)].
(for every a in X at location i s.t. Correct[i] there is an earlier event with info=b
such that R[a;b] \mmember{} \mBbbP{})
Date html generated:
2015_07_17-PM-00_17_38
Last ObjectModification:
2015_01_28-AM-00_04_54
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