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
Lemmas :
pi_term_ind_wf_simple,
pizero_wf,
picomm_wf,
prefix-replace_wf,
pi_prefix_wf,
pioption_wf,
pipar_wf,
pirep_wf,
pinew_wf,
name_eq_wf,
bool_wf,
pi_term_wf,
name_wf
Latex:
\mforall{}[t,x:Name]. \mforall{}[P:pi\_term()]. (pi-replace(t;x;P) \mmember{} pi\_term())
Date html generated:
2015_07_23-AM-11_33_29
Last ObjectModification:
2015_01_29-AM-00_54_22
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