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
Lemmas :
eq_atom_wf,
com-kind_wf,
bool_wf,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
eqtt_to_assert,
assert_of_eq_atom,
comm-msg_wf,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
pMsg_wf,
pCom_wf
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:
2015_07_23-AM-11_17_30
Last ObjectModification:
2015_01_28-PM-11_18_15
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