Nuprl Lemma : cond-msg-body_wf
∀[f:Name ─→ Type]. ∀[T:Type]. ∀[hdr:Name]. ∀[m:Message(f)]. cond-msg-body(hdr;m) ∈ bag(T) supposing hdr encodes T
Proof
Definitions occuring in Statement :
cond-msg-body: cond-msg-body(hdr;msg),
encodes-msg-type: hdr encodes T,
Message: Message(f),
name: Name,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type,
bag: bag(T)
Lemmas :
name_eq_wf,
msg-header_wf,
bool_wf,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
equal_wf,
eqtt_to_assert,
assert-name_eq,
single-bag_wf,
msg-body_wf2,
subtype_rel-equal,
msg-type_wf,
iff_weakening_equal,
subtype_rel_transitivity,
iff_transitivity,
bnot_wf,
not_wf,
iff_weakening_uiff,
eqff_to_assert,
assert_of_bnot,
empty-bag_wf,
encodes-msg-type_wf,
Message_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[T:Type]. \mforall{}[hdr:Name]. \mforall{}[m:Message(f)].
cond-msg-body(hdr;m) \mmember{} bag(T) supposing hdr encodes T
Date html generated:
2015_07_21-PM-04_49_17
Last ObjectModification:
2015_02_04-PM-05_09_17
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