Nuprl Lemma : msg-body_wf2
∀[f:Name ─→ Type]. ∀[m:Message(f)]. ∀[T:Type]. msg-body(m) ∈ T supposing msg-type(m;f) ⊆r T
Proof
Definitions occuring in Statement :
msg-body: msg-body(msg),
msg-type: msg-type(msg;f),
Message: Message(f),
name: Name,
uimplies: b supposing a,
subtype_rel: A ⊆r B,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
msg-msg_wf,
basicMessage_wf,
and_wf,
equal_wf,
pi1_wf_top,
name_wf,
subtype_rel_product,
top_wf,
subtype_top,
subtype_base_sq,
list_subtype_base,
atom_subtype_base,
subtype_rel_wf,
msg-type_wf,
Message_wf
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[m:Message(f)]. \mforall{}[T:Type]. msg-body(m) \mmember{} T supposing msg-type(m;f) \msubseteq{}r T
Date html generated:
2015_07_21-PM-04_48_26
Last ObjectModification:
2015_01_28-AM-08_47_18
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