Nuprl Lemma : l_treeco_size_wf
∀[L,T:Type]. ∀[p:l_treeco(L;T)]. (l_treeco_size(p) ∈ partial(ℕ))
Proof
Definitions occuring in Statement :
l_treeco_size: l_treeco_size(p),
l_treeco: l_treeco(L;T),
partial: partial(T),
nat: ℕ,
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Lemmas :
fix_wf_corec-partial1,
nat_wf,
set-value-type,
le_wf,
int-value-type,
nat-mono,
eq_atom_wf,
bool_wf,
eqff_to_assert,
equal_wf,
bool_cases_sqequal,
subtype_base_sq,
bool_subtype_base,
assert-bnot,
neg_assert_of_eq_atom,
eqtt_to_assert,
assert_of_eq_atom,
subtype_rel_product,
subtype_rel_wf,
strong-continuous-depproduct,
continuous-constant,
strong-continuous-product,
continuous-id,
subtype_rel_weakening,
atom_subtype_base,
false_wf,
inclusion-partial,
add-wf-partial-nat,
partial_wf,
l_treeco_wf
\mforall{}[L,T:Type]. \mforall{}[p:l\_treeco(L;T)]. (l\_treeco\_size(p) \mmember{} partial(\mBbbN{}))
Date html generated:
2015_07_17-AM-07_41_19
Last ObjectModification:
2015_01_27-AM-09_31_19
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