Nuprl Lemma : State-loc-comb-exists
∀[Info,B,A:Type]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[init:Id ─→ bag(B)]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E].
↓∃v:B. v ∈ State-loc-comb(init;f;X)(e) supposing #(init loc(e)) > 0
Proof
Definitions occuring in Statement :
State-loc-comb: State-loc-comb(init;f;X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-loc: loc(e),
es-E: E,
Id: Id,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
gt: i > j,
exists: ∃x:A. B[x],
squash: ↓T,
apply: f a,
function: x:A ─→ B[x],
natural_number: $n,
universe: Type,
bag-size: #(bs),
bag: bag(T)
Lemmas :
State-comb-exists,
State-loc-comb-classrel-non-loc,
classrel_wf,
State-loc-comb_wf,
gt_wf,
bag-size_wf,
es-loc_wf,
event-ordering+_subtype,
nat_wf,
es-E_wf,
event-ordering+_wf,
eclass_wf,
Id_wf,
bag_wf
Latex:
\mforall{}[Info,B,A:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} bag(B)]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)].
\mforall{}[e:E].
\mdownarrow{}\mexists{}v:B. v \mmember{} State-loc-comb(init;f;X)(e) supposing \#(init loc(e)) > 0
Date html generated:
2015_07_22-PM-00_23_53
Last ObjectModification:
2015_01_28-AM-10_10_52
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