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
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
pi-simple-subst: pi-simple-subst(t;x;P)
Latex:
\mforall{}[P:pi\_term()]. \mforall{}[t,x:Name]. (pi-rank(pi-simple-subst(t;x;P)) = pi-rank(P))
Date html generated:
2016_05_17-AM-11_25_28
Last ObjectModification:
2015_12_29-PM-06_52_54
Theory : event-logic-applications
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