Nuprl Lemma : member-memory-class3
∀[Info,A1,A2,A3,B:Type]. ∀[init:Id ─→ B]. ∀[tr1:Id ─→ A1 ─→ B ─→ B]. ∀[X1:EClass(A1)]. ∀[tr2:Id ─→ A2 ─→ B ─→ B].
∀[X2:EClass(A2)]. ∀[tr3:Id ─→ A3 ─→ B ─→ B]. ∀[X3:EClass(A3)]. ∀[es:EO+(Info)]. ∀[e:E].
(e ∈b memory-class3(init;tr1;X1;tr2;X2;tr3;X3) ~ tt)
Proof
Definitions occuring in Statement :
memory-class3: memory-class3(init;tr1;X1;tr2;X2;tr3;X3),
member-eclass: e ∈b X,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
btrue: tt,
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type,
sqequal: s ~ t
Lemmas :
member-loop-class-memory,
parallel-class_wf,
eclass1_wf,
single-bag_wf,
bag_size_single_lemma,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
Id_wf
Latex:
\mforall{}[Info,A1,A2,A3,B:Type]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[tr1:Id {}\mrightarrow{} A1 {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X1:EClass(A1)]. \mforall{}[tr2:Id
{}\mrightarrow{} A2
{}\mrightarrow{} B
{}\mrightarrow{} B].
\mforall{}[X2:EClass(A2)]. \mforall{}[tr3:Id {}\mrightarrow{} A3 {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X3:EClass(A3)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
(e \mmember{}\msubb{} memory-class3(init;tr1;X1;tr2;X2;tr3;X3) \msim{} tt)
Date html generated:
2015_07_23-AM-11_28_49
Last ObjectModification:
2015_01_28-PM-11_12_45
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