Nuprl Lemma : es-propagation-rule-iff_wf
∀[Info,A,B:Type]. ∀[X:EClass(A)]. ∀[Y:EClass(B)]. ∀[f:Id ─→ A ─→ B]. ∀[g:A ─→ (Id List)]. ∀[es:EO+(Info)].
(X ⇐f⇒ Y@g ∈ ℙ)
Proof
Definitions occuring in Statement :
es-propagation-rule-iff: A ⇐f⇒ B@g,
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
exists_wf,
es-E-interface_wf,
es-interface-subtype_rel2,
es-E_wf,
event-ordering+_subtype,
top_wf,
list_wf,
all_wf,
not_wf,
equal_wf,
l_disjoint_wf,
l_all_wf2,
l_member_wf,
es-causl_wf,
eclass-val_wf,
assert_elim,
in-eclass_wf,
subtype_base_sq,
bool_wf,
bool_subtype_base,
es-loc_wf,
l_exists_wf,
event-ordering+_wf,
Id_wf,
eclass_wf
Latex:
\mforall{}[Info,A,B:Type]. \mforall{}[X:EClass(A)]. \mforall{}[Y:EClass(B)]. \mforall{}[f:Id {}\mrightarrow{} A {}\mrightarrow{} B]. \mforall{}[g:A {}\mrightarrow{} (Id List)].
\mforall{}[es:EO+(Info)].
(X \mLeftarrow{}{}f{}\mRightarrow{} Y@g \mmember{} \mBbbP{})
Date html generated:
2015_07_21-PM-03_29_44
Last ObjectModification:
2015_01_27-PM-06_39_32
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