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
Lemmas :
tag-case_wf,
pMsg_wf,
pCom_wf,
equal-wf-T-base,
com-kind_wf,
isect2_decomp,
isect2_wf,
Process_wf,
Id_wf,
unit_wf2,
eq_atom_wf,
equal-wf-base,
atom_subtype_base,
assert_wf,
bnot_wf,
not_wf,
bool_cases,
subtype_base_sq,
bool_wf,
bool_subtype_base,
eqtt_to_assert,
assert_of_eq_atom,
eqff_to_assert,
iff_transitivity,
iff_weakening_uiff,
assert_of_bnot
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:
2015_07_23-AM-11_07_06
Last ObjectModification:
2015_01_29-AM-00_10_48
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