Nuprl Lemma : state-class1-program_wf
∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[pr:LocalClass(X)].
(state-class1-program(init;f;pr) ∈ LocalClass(state-class1(init;f;X))) supposing (valueall-type(B) and (↓B))
Proof
Definitions occuring in Statement :
state-class1-program: state-class1-program(init;tr;pr),
state-class1: state-class1(init;tr;X),
local-class: LocalClass(X),
eclass: EClass(A[eo; e]),
Id: Id,
valueall-type: valueall-type(T),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
squash: ↓T,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
loop-class-state-program_wf,
eclass1_wf,
single-bag_wf,
eclass1-program_wf,
function-valueall-type,
valueall-type-value-type,
valueall-type_wf,
squash_wf,
local-class_wf,
eclass_wf,
es-E_wf,
event-ordering+_subtype,
event-ordering+_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{}[pr:LocalClass(X)].
(state-class1-program(init;f;pr) \mmember{} LocalClass(state-class1(init;f;X))) supposing
(valueall-type(B) and
(\mdownarrow{}B))
Date html generated:
2015_07_22-PM-00_05_09
Last ObjectModification:
2015_01_28-AM-09_52_44
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