Nuprl Lemma : pi-rank-pi-simple-subst
∀[P:pi_term()]. ∀[t,x:Name]. (pi-rank(pi-simple-subst(t;x;P)) = pi-rank(P) ∈ ℤ)
Proof
Definitions occuring in Statement :
pi-simple-subst: pi-simple-subst(t;x;P),
pi-rank: pi-rank(p),
pi_term: pi_term(),
name: Name,
uall: ∀[x:A]. B[x],
int: ℤ,
equal: s = t ∈ T
Lemmas :
pi-rank-pi-simple-subst-aux,
cons_wf,
name_wf,
pi-names_wf
Latex:
\mforall{}[P:pi\_term()]. \mforall{}[t,x:Name]. (pi-rank(pi-simple-subst(t;x;P)) = pi-rank(P))
Date html generated:
2015_07_23-AM-11_33_49
Last ObjectModification:
2015_01_29-AM-00_54_46
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