Nuprl Lemma : eclass-state-program_wf
∀[Info,A,B:Type]. ∀[init:Id ─→ B]. ∀[f:Id ─→ A ─→ B ─→ B]. ∀[X:EClass(A)]. ∀[pr:LocalClass(X)].
eclass-state-program(init;f;pr) ∈ LocalClass(eclass-state(init;f;X)) supposing valueall-type(B) ∧ (↓B)
Proof
Definitions occuring in Statement :
eclass-state-program: eclass-state-program(init;f;pr),
eclass-state: eclass-state(init;f;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,
and: P ∧ Q,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
loop-class-program_wf,
eclass1_wf,
bag_wf,
single-bag_wf,
eclass1-program_wf,
function-valueall-type,
bag-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)].
eclass-state-program(init;f;pr) \mmember{} LocalClass(eclass-state(init;f;X))
supposing valueall-type(B) \mwedge{} (\mdownarrow{}B)
Date html generated:
2015_07_22-PM-00_02_49
Last ObjectModification:
2015_01_28-AM-09_53_38
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