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
Lemmas :
pi_prefix_ind_wf,
true_wf,
pi_prefix_wf,
subtype_rel_dep_function,
name_wf
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:
2015_07_23-AM-11_31_49
Last ObjectModification:
2015_01_29-AM-00_53_11
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