Nuprl Lemma : msg-interface-extensionality
∀[f:Name ⟶ Type]. ∀[x,y:Interface].
uiff(x = y ∈ Interface;(x.delay = y.delay ∈ ℤ) ∧ (x.dst = y.dst ∈ Id) ∧ (x.msg = y.msg ∈ Message(f)))
Proof
Definitions occuring in Statement :
msg-interface-delay: mi.delay,
msg-interface-message: mi.msg,
msg-interface-destination: mi.dst,
msg-interface: Interface,
Message: Message(f),
Id: Id,
name: Name,
uiff: uiff(P;Q),
uall: ∀[x:A]. B[x],
and: P ∧ Q,
function: x:A ⟶ B[x],
int: ℤ,
universe: Type,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uiff: uiff(P;Q),
and: P ∧ Q,
uimplies: b supposing a,
prop: ℙ,
msg-interface: Interface,
msg-interface-message: mi.msg,
pi2: snd(t),
msg-interface-destination: mi.dst,
pi1: fst(t),
msg-interface-delay: mi.delay
Latex:
\mforall{}[f:Name {}\mrightarrow{} Type]. \mforall{}[x,y:Interface].
uiff(x = y;(x.delay = y.delay) \mwedge{} (x.dst = y.dst) \mwedge{} (x.msg = y.msg))
Date html generated:
2016_05_17-AM-08_59_36
Last ObjectModification:
2015_12_29-PM-02_51_48
Theory : messages
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