Nuprl Lemma : command-to-msg_wf
∀[M:Type ⟶ Type]. ∀[c:pCom(P.M[P])]. ∀[nmsg,lmsg:pMsg(P.M[P])]. (command-to-msg(c;nmsg;lmsg) ∈ pMsg(P.M[P]))
Proof
Definitions occuring in Statement :
command-to-msg: command-to-msg(c;nmsg;lmsg),
pCom: pCom(P.M[P]),
pMsg: pMsg(P.M[P]),
uall: ∀[x:A]. B[x],
so_apply: x[s],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
command-to-msg: command-to-msg(c;nmsg;lmsg),
so_lambda: λ2x.t[x],
so_apply: x[s],
all: ∀x:A. B[x],
implies: P ⇒ Q,
bool: 𝔹,
unit: Unit,
it: ⋅,
btrue: tt,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
ifthenelse: if b then t else f fi ,
bfalse: ff,
iff: P ⇐⇒ Q,
not: ¬A,
prop: ℙ,
rev_implies: P ⇐ Q
Latex:
\mforall{}[M:Type {}\mrightarrow{} Type]. \mforall{}[c:pCom(P.M[P])]. \mforall{}[nmsg,lmsg:pMsg(P.M[P])].
(command-to-msg(c;nmsg;lmsg) \mmember{} pMsg(P.M[P]))
Date html generated:
2016_05_17-AM-10_56_44
Last ObjectModification:
2015_12_29-PM-05_18_05
Theory : process-model
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