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
Lemmas :
pi_prefix_ind_wf_simple,
pisend_wf,
name_eq_wf,
bool_wf,
pi_prefix_wf,
name_wf
Latex:
\mforall{}[t,x:Name]. \mforall{}[pre:pi\_prefix()]. (prefix-replace(t;x;pre) \mmember{} pi\_prefix())
Date html generated:
2015_07_23-AM-11_33_26
Last ObjectModification:
2015_01_29-AM-00_54_21
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