Nuprl Lemma : Memory4_wf
∀[Info,A1,A2,A3,A4,S:Type]. ∀[init:Id ─→ S]. ∀[tr1:Id ─→ A1 ─→ S ─→ S]. ∀[X1:EClass(A1)]. ∀[tr2:Id ─→ A2 ─→ S ─→ S].
∀[X2:EClass(A2)]. ∀[tr3:Id ─→ A3 ─→ S ─→ S]. ∀[X3:EClass(A3)]. ∀[tr4:Id ─→ A4 ─→ S ─→ S]. ∀[X4:EClass(A4)].
(Memory4(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4) ∈ EClass(S))
Proof
Definitions occuring in Statement :
Memory4: Memory4(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 :
Memory-loc-class_wf,
disjoint-union-tr_wf,
single-bag_wf,
disjoint-union-comb_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
Id_wf
Latex:
\mforall{}[Info,A1,A2,A3,A4,S:Type]. \mforall{}[init:Id {}\mrightarrow{} S]. \mforall{}[tr1:Id {}\mrightarrow{} A1 {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X1:EClass(A1)].
\mforall{}[tr2:Id {}\mrightarrow{} A2 {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X2:EClass(A2)]. \mforall{}[tr3:Id {}\mrightarrow{} A3 {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X3:EClass(A3)].
\mforall{}[tr4:Id {}\mrightarrow{} A4 {}\mrightarrow{} S {}\mrightarrow{} S]. \mforall{}[X4:EClass(A4)].
(Memory4(init;tr1;X1;tr2;X2;tr3;X3;tr4;X4) \mmember{} EClass(S))
Date html generated:
2015_07_22-PM-00_20_08
Last ObjectModification:
2015_01_28-AM-10_13_54
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