Nuprl Lemma : cond-msg-body-single-valued
∀[f:Name ─→ Type]. ∀[hdr:Name]. ∀[m:Message(f)]. ∀[T:Type].
single-valued-bag(cond-msg-body(hdr;m);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],
function: x:A ─→ B[x],
universe: Type,
single-valued-bag: single-valued-bag(b;T)
Lemmas :
name_eq_wf,
msg-header_wf,
bool_wf,
eqtt_to_assert,
assert-name_eq,
bag-member-single,
msg-body_wf2,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
bag-member-empty-iff,
bag-member_wf,
cond-msg-body_wf,
encodes-msg-type_wf,
Message_wf,
name_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[hdr:Name]. \mforall{}[m:Message(f)]. \mforall{}[T:Type].
single-valued-bag(cond-msg-body(hdr;m);T) supposing hdr encodes T
Date html generated:
2015_07_21-PM-04_49_20
Last ObjectModification:
2015_01_28-AM-08_45_41
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