Nuprl Lemma : pi_prefix_ind_wf_simple
∀[A:Type]. ∀[v:pi_prefix()]. ∀[send,rcv:chan:Name ⟶ var:Name ⟶ A].
(pi_prefix_ind(v;
pisend(chan,var)⇒ send[chan;var];
pircv(chan,var)⇒ rcv[chan;var]) ∈ A)
Proof
Definitions occuring in Statement :
pi_prefix_ind: pi_prefix_ind,
pi_prefix: pi_prefix(),
name: Name,
uall: ∀[x:A]. B[x],
so_apply: x[s1;s2],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
so_lambda: λ2x y.t[x; y],
so_apply: x[s1;s2],
subtype_rel: A ⊆r B,
so_lambda: λ2x.t[x],
so_apply: x[s],
prop: ℙ,
uimplies: b supposing a,
all: ∀x:A. B[x],
true: True,
guard: {T}
Latex:
\mforall{}[A:Type]. \mforall{}[v:pi\_prefix()]. \mforall{}[send,rcv:chan:Name {}\mrightarrow{} var:Name {}\mrightarrow{} A].
(pi\_prefix\_ind(v;
pisend(chan,var){}\mRightarrow{} send[chan;var];
pircv(chan,var){}\mRightarrow{} rcv[chan;var]) \mmember{} A)
Date html generated:
2016_05_17-AM-11_20_25
Last ObjectModification:
2015_12_29-PM-06_58_27
Theory : event-logic-applications
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