Nuprl Lemma : state-class5_wf

[Info,A1,A2,A3,A4,A5,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)]. ∀[tr4:Id ─→ A4 ─→ B ─→ B]. ∀[X4:EClass(A4)]. ∀[tr5:Id
                                                                                                                  ─→ A5
                                                                                                                  ─→ B
                                                                                                                  ─→ B].
[X5:EClass(A5)].
  (state-class5(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4;tr5;X5) ∈ EClass(B))


Proof




Definitions occuring in Statement :  state-class5: state-class5(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4;tr5;X5) eclass: EClass(A[eo; e]) Id: Id uall: [x:A]. B[x] member: t ∈ T function: x:A ─→ B[x] universe: Type
Lemmas :  loop-class-state_wf parallel-class_wf eclass1_wf single-bag_wf eclass_wf es-E_wf event-ordering+_subtype event-ordering+_wf Id_wf

Latex:
\mforall{}[Info,A1,A2,A3,A4,A5,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{}[tr4:Id  {}\mrightarrow{}  A4  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X4:EClass(A4)].  \mforall{}[tr5:Id  {}\mrightarrow{}  A5  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[X5:EClass(A5)].
    (state-class5(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4;tr5;X5)  \mmember{}  EClass(B))



Date html generated: 2015_07_21-PM-02_39_35
Last ObjectModification: 2015_01_27-PM-09_40_44

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