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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