Nuprl Lemma : mk-tagged_wf_pCom_choose
∀[M:Type ─→ Type]
∀[Q:Type]. ∀[m:Id]. (mk-tagged("choose";m) ∈ Com(P.M[P]) Q) supposing Process(P.M[P]) ⊆r Q supposing Monotone(T.M[T])
Proof
Definitions occuring in Statement :
Process: Process(P.M[P]),
Com: Com(P.M[P]),
Id: Id,
type-monotone: Monotone(T.F[T]),
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
apply: f a,
function: x:A ─→ B[x],
token: "$token",
universe: Type,
mk-tagged: mk-tagged(tg;x)
Lemmas :
mk-tagged_wf_unequal,
assert_of_eq_atom,
iff_transitivity,
not_wf,
equal-wf-base,
false_wf,
true_wf,
iff_weakening_uiff,
assert_of_bnot,
bfalse_wf,
mk-tagged_wf,
Id_wf,
assert-eq-id,
unit_wf2,
bool_wf,
subtype_rel_wf,
Process_wf,
type-monotone_wf
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]
\mforall{}[Q:Type]. \mforall{}[m:Id]. (mk-tagged("choose";m) \mmember{} Com(P.M[P]) Q) supposing Process(P.M[P]) \msubseteq{}r Q
supposing Monotone(T.M[T])
Date html generated:
2015_07_23-AM-11_06_52
Last ObjectModification:
2015_01_29-AM-00_10_44
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