Nuprl Lemma : state-class1-exists
∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)].
∀es:EO+(Info). ∀e:E. (↓∃v:B. v ∈ state-class1(init;f;X)(e))
Proof
Definitions occuring in Statement :
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,
uall: ∀[x:A]. B[x],
all: ∀x:A. B[x],
exists: ∃x:A. B[x],
squash: ↓T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
State1-loc-exists,
classrel_wf,
squash_wf,
true_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_wf,
eclass_wf,
State1-state-class1,
iff_weakening_equal,
state-class1_wf,
Id_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[init:Id {}\mrightarrow{} B]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B {}\mrightarrow{} B]. \mforall{}[X:EClass(A)].
\mforall{}es:EO+(Info). \mforall{}e:E. (\mdownarrow{}\mexists{}v:B. v \mmember{} state-class1(init;f;X)(e))
Date html generated:
2015_07_22-PM-00_25_20
Last ObjectModification:
2015_02_04-PM-04_38_10
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