Nuprl Lemma : int-decr-map-inDom-prop
∀[Value:Type]. ∀[k:ℤ]. ∀[m:int-decr-map-type(Value)]. (↑int-decr-map-inDom(k;m) ⇐⇒ ↑isl(int-decr-map-find(k;m)))
Proof
Definitions occuring in Statement :
int-decr-map-inDom: int-decr-map-inDom(k;m),
int-decr-map-find: int-decr-map-find(k;m),
int-decr-map-type: int-decr-map-type(Value),
assert: ↑b,
isl: isl(x),
uall: ∀[x:A]. B[x],
iff: P ⇐⇒ Q,
int: ℤ,
universe: Type
Lemmas :
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-inDom_wf,
int-decr-map-type_wf
\mforall{}[Value:Type]. \mforall{}[k:\mBbbZ{}]. \mforall{}[m:int-decr-map-type(Value)].
(\muparrow{}int-decr-map-inDom(k;m) \mLeftarrow{}{}\mRightarrow{} \muparrow{}isl(int-decr-map-find(k;m)))
Date html generated:
2015_07_17-AM-08_23_00
Last ObjectModification:
2015_04_02-PM-05_44_05
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