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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
msg-body: msg-body(msg),
msg-type: msg-type(msg;f),
msg-header: msg-header(m),
all: ∀x:A. B[x],
implies: P ⇒ Q,
basicMessage: basicMessage(f),
pi2: snd(t),
subtype_rel: A ⊆r B,
guard: {T},
pi1: fst(t),
and: P ∧ Q,
prop: ℙ,
so_lambda: λ2x.t[x],
so_apply: x[s],
top: Top
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:
2016_05_17-AM-08_50_42
Last ObjectModification:
2015_12_29-PM-02_57_46
Theory : messages
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