Nuprl Lemma : state-class4_wf
∀[Info,A1,A2,A3,A4,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)].
(state-class4(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4) ∈ EClass(B))
Proof
Definitions occuring in Statement :
state-class4: state-class4(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4),
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,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)].
(state-class4(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4) \mmember{} EClass(B))
Date html generated:
2015_07_21-PM-02_39_13
Last ObjectModification:
2015_01_27-PM-09_40_15
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