Nuprl Lemma : prefix-replace_wf

∀[t,x:Name]. ∀[pre:pi_prefix()].  (prefix-replace(t;x;pre) ∈ pi_prefix())


Proof




Definitions occuring in Statement :  prefix-replace: prefix-replace(t;x;pre),  pi_prefix: pi_prefix(),  name: Name,  uall: ∀[x:A]. B[x],  member: t ∈ T
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  prefix-replace: prefix-replace(t;x;pre),  let: let,  so_lambda: λ2x y.t[x; y],  so_apply: x[s1;s2]

Latex:
\mforall{}[t,x:Name].  \mforall{}[pre:pi\_prefix()].    (prefix-replace(t;x;pre)  \mmember{}  pi\_prefix())



Date html generated: 2016_05_17-AM-11_24_30
Last ObjectModification: 2015_12_29-PM-06_53_18

Theory : event-logic-applications


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