Nuprl Lemma : state-class1-state1-classrel
∀[Info,B,A:Type]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[init:Id ─→ B]. ∀[X:EClass(A)]. ∀[es:EO+(Info)]. ∀[e:E]. ∀[v:B].
uiff(v ∈ State1(init;f;X)(e);v ∈ state-class1(init;f;X)(e))
Proof
Definitions occuring in Statement :
State1: State1(init;tr;X),
state-class1: state-class1(init;tr;X),
classrel: v ∈ X(e),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
es-E: E,
Id: Id,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
function: x:A ─→ B[x],
universe: Type
Lemmas :
classrel_wf,
state-class1_wf,
squash_wf,
true_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
State1-state-class1,
iff_weakening_equal,
State1_wf,
uiff_wf,
Id_wf
Latex:
\mforall{}[Info,B,A:Type]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[X:EClass(A)]. \mforall{}[es:EO+(Info)]. \mforall{}[e:E].
\mforall{}[v:B].
uiff(v \mmember{} State1(init;f;X)(e);v \mmember{} state-class1(init;f;X)(e))
Date html generated:
2015_07_22-PM-00_25_17
Last ObjectModification:
2015_02_04-PM-04_38_17
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