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
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
state-class5: state-class5(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4;tr5;X5)
, 
all: ∀x:A. B[x]
, 
so_lambda: λ2x y.t[x; y]
, 
subtype_rel: A ⊆r B
, 
so_apply: x[s1;s2]
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:
2016_05_16-PM-11_44_50
Last ObjectModification:
2015_12_29-AM-10_07_16
Theory : event-ordering
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