Nuprl Lemma : msg-type_wf2
∀[f:Name ⟶ ValueAllType]. ∀[m:Message(f)]. (msg-type(m;f) ∈ {T:Type| valueall-type(T)} )
Proof
Definitions occuring in Statement :
msg-type: msg-type(msg;f),
Message: Message(f),
name: Name,
vatype: ValueAllType,
valueall-type: valueall-type(T),
uall: ∀[x:A]. B[x],
member: t ∈ T,
set: {x:A| B[x]} ,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
msg-type: msg-type(msg;f),
subtype_rel: A ⊆r B,
vatype: ValueAllType,
so_lambda: λ2x.t[x],
so_apply: x[s],
uimplies: b supposing a,
all: ∀x:A. B[x]
Latex:
\mforall{}[f:Name {}\mrightarrow{} ValueAllType]. \mforall{}[m:Message(f)]. (msg-type(m;f) \mmember{} \{T:Type| valueall-type(T)\} )
Date html generated:
2016_05_17-AM-08_50_34
Last ObjectModification:
2015_12_29-PM-02_56_59
Theory : messages
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