Nuprl Lemma : int-decr-map-inDom-prop2
∀[Value:Type]. ∀[k:ℤ]. ∀[m:int-decr-map-type(Value)]. (∀p∈m.¬(k = (fst(p)) ∈ ℤ)) supposing ¬↑int-decr-map-inDom(k;m)
Proof
Definitions occuring in Statement :
int-decr-map-inDom: int-decr-map-inDom(k;m),
int-decr-map-type: int-decr-map-type(Value),
l_all: (∀x∈L.P[x]),
assert: ↑b,
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
pi1: fst(t),
not: ¬A,
int: ℤ,
universe: Type,
equal: s = t ∈ T
Lemmas :
int-decr-map-inDom-prop,
assert_wf,
isl_wf,
not_wf,
null_wf3,
subtype_rel_list,
top_wf,
l_member_wf,
squash_wf,
l_all_wf2,
equal-wf-base-T,
int_subtype_base,
int-decr-map-find_wf,
int-decr-map-find-prop2,
select_wf,
sq_stable__le,
int_seg_wf,
length_wf,
int-decr-map-inDom_wf,
int-decr-map-type_wf
\mforall{}[Value:Type]. \mforall{}[k:\mBbbZ{}]. \mforall{}[m:int-decr-map-type(Value)].
(\mforall{}p\mmember{}m.\mneg{}(k = (fst(p)))) supposing \mneg{}\muparrow{}int-decr-map-inDom(k;m)
Date html generated:
2015_07_17-AM-08_23_03
Last ObjectModification:
2015_04_02-PM-05_44_09
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