Nuprl Lemma : rank-par
∀[P,Q:pi_term()]. (pi-rank(pipar(P;Q)) = ((pi-rank(P) + pi-rank(Q)) + 1) ∈ ℕ)
Proof
Definitions occuring in Statement :
pi-rank: pi-rank(p),
pipar: pipar(left;right),
pi_term: pi_term(),
nat: ℕ,
uall: ∀[x:A]. B[x],
add: n + m,
natural_number: $n,
equal: s = t ∈ T
Lemmas :
pi-rank_wf,
nat_wf,
pi_term_wf
Latex:
\mforall{}[P,Q:pi\_term()]. (pi-rank(pipar(P;Q)) = ((pi-rank(P) + pi-rank(Q)) + 1))
Date html generated:
2015_07_23-AM-11_33_13
Last ObjectModification:
2015_01_29-AM-00_54_24
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