Nuprl Lemma : message-constraint-swap-hdr_wf
∀[f:Name ⟶ Type]. ∀[es:EO+(Message(f))]. ∀[X:EClass(Id × Message(f))]. ∀[hdr_in:Name]. ∀[hdrs_out:Name List].
(message-constraint-swap-hdr{i:l}(f; es; X; hdr_in; hdrs_out) ∈ ℙ')
Proof
Definitions occuring in Statement :
message-constraint-swap-hdr: message-constraint-swap-hdr{i:l}(f; es; X; hdr_in; hdrs_out),
Message: Message(f),
eclass: EClass(A[eo; e]),
event-ordering+: EO+(Info),
Id: Id,
name: Name,
list: T List,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
product: x:A × B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
message-constraint-swap-hdr: message-constraint-swap-hdr{i:l}(f; es; X; hdr_in; hdrs_out),
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
prop: ℙ,
and: P ∧ Q,
so_apply: x[s],
exists: ∃x:A. B[x],
uimplies: b supposing a,
all: ∀x:A. B[x],
label: ...$L... t,
es-info-type: es-info-type(es;e;f),
msg-type: msg-type(msg;f),
es-header: header(e),
guard: {T}
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[es:EO+(Message(f))]. \mforall{}[X:EClass(Id \mtimes{} Message(f))]. \mforall{}[hdr$_{in}\mbackslash{}\000Cff24:Name].
\mforall{}[hdrs$_{out}$:Name List].
(message-constraint-swap-hdr\{i:l\}(f; es; X; hdr$_{in}$; hdrs$_{out\000C}$) \mmember{} \mBbbP{}')
Date html generated:
2016_05_17-AM-08_58_59
Last ObjectModification:
2015_12_29-PM-02_57_34
Theory : messages
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