Nuprl Lemma : comm-msg_wf
∀[M:Type ⟶ Type]. ∀[c:pCom(P.M[P])]. comm-msg(c) ∈ pMsg(P.M[P]) supposing com-kind(c) = "msg" ∈ Atom
Proof
Definitions occuring in Statement :
comm-msg: comm-msg(c),
com-kind: com-kind(c),
pCom: pCom(P.M[P]),
pMsg: pMsg(P.M[P]),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
token: "$token",
atom: Atom,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
uimplies: b supposing a,
prop: ℙ,
pCom: pCom(P.M[P]),
Com: Com(P.M[P]),
tagged+: T |+ z:B,
and: P ∧ Q,
cand: A c∧ B,
pMsg: pMsg(P.M[P]),
tag-case: z:T,
comm-msg: comm-msg(c),
com-kind: com-kind(c),
tagged-val: x.val,
tagged-tag: x.tag,
pi1: fst(t),
pi2: snd(t),
not: ¬A,
false: False,
or: P ∨ Q,
sq_type: SQType(T),
guard: {T},
uiff: uiff(P;Q),
ifthenelse: if b then t else f fi ,
btrue: tt,
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
bfalse: ff
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[c:pCom(P.M[P])]. comm-msg(c) \mmember{} pMsg(P.M[P]) supposing com-kind(c) = "msg"
Date html generated:
2016_05_17-AM-10_23_10
Last ObjectModification:
2015_12_29-PM-05_27_51
Theory : process-model
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