Nuprl Lemma : rank-new
∀[v:Name]. ∀[P:pi_term()]. (pi-rank(pinew(v;P)) = (pi-rank(P) + 1) ∈ ℕ)
Proof
Definitions occuring in Statement :
pi-rank: pi-rank(p),
pinew: pinew(name;body),
pi_term: pi_term(),
name: Name,
nat: ℕ,
uall: ∀[x:A]. B[x],
add: n + m,
natural_number: $n,
equal: s = t ∈ T
Lemmas :
zero-le-nat,
pi-rank_wf,
pinew_wf,
nat_wf,
le_wf,
pi_term_wf,
name_wf
Latex:
\mforall{}[v:Name]. \mforall{}[P:pi\_term()]. (pi-rank(pinew(v;P)) = (pi-rank(P) + 1))
Date html generated:
2015_07_23-AM-11_33_18
Last ObjectModification:
2015_01_29-AM-00_54_19
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