Nuprl Lemma : pi-replace_wf
∀[t,x:Name]. ∀[P:pi_term()].  (pi-replace(t;x;P) ∈ pi_term())
Proof
Definitions occuring in Statement : 
pi-replace: pi-replace(t;x;P)
, 
pi_term: pi_term()
, 
name: Name
, 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
Definitions unfolded in proof : 
uall: ∀[x:A]. B[x]
, 
member: t ∈ T
, 
pi-replace: pi-replace(t;x;P)
, 
let: let, 
so_lambda: so_lambda(x,y,z.t[x; y; z])
, 
so_apply: x[s1;s2;s3]
, 
so_lambda: so_lambda(x,y,z,w.t[x; y; z; w])
, 
so_apply: x[s1;s2;s3;s4]
, 
so_lambda: λ2x y.t[x; y]
, 
so_apply: x[s1;s2]
Latex:
\mforall{}[t,x:Name].  \mforall{}[P:pi\_term()].    (pi-replace(t;x;P)  \mmember{}  pi\_term())
Date html generated:
2016_05_17-AM-11_24_35
Last ObjectModification:
2015_12_29-PM-06_53_20
Theory : event-logic-applications
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