Nuprl Lemma : pi-level_wf
∀[p:pi_term()]. (pi-level(p) ∈ ℕ)
Proof
Definitions occuring in Statement :
pi-level: pi-level(p),
pi_term: pi_term(),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T
Lemmas :
pi_term_ind_wf_simple,
nat_wf,
false_wf,
le_wf,
pi_term_wf,
pi_prefix_wf,
imax_wf,
zero-le-nat,
imax_ub,
sq_stable__le,
add-nat,
decidable__le,
not-le-2,
condition-implies-le,
minus-add,
minus-one-mul,
zero-add,
add-associates,
add-swap,
add-commutes,
add_functionality_wrt_le,
add-zero,
le-add-cancel,
name_wf
Latex:
\mforall{}[p:pi\_term()]. (pi-level(p) \mmember{} \mBbbN{})
Date html generated:
2015_07_23-AM-11_33_24
Last ObjectModification:
2015_01_29-AM-00_55_59
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