Nuprl Lemma : int-decr-map-fun
∀[Value:Type]. ∀[m:int-decr-map-type(Value)]. ∀[k:ℤ]. ∀[v1,v2:Value].
(v1 = v2 ∈ Value) supposing ((<k, v1> ∈ m) and (<k, v2> ∈ m))
Proof
Definitions occuring in Statement :
int-decr-map-type: int-decr-map-type(Value),
l_member: (x ∈ l),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
pair: <a, b>,
product: x:A × B[x],
int: ℤ,
universe: Type,
equal: s = t ∈ T
Lemmas :
decidable__equal_int,
select_wf,
squash_wf,
le_wf,
less_than_wf,
length_wf,
list_wf,
sq_stable__le,
and_wf,
equal_wf,
pi2_wf,
decidable__lt,
l_member_wf,
int-decr-map-type_wf,
l-ordered-inst,
gt_wf,
lelt_wf,
less_than_irreflexivity,
false_wf,
not-equal-2,
add_functionality_wrt_le,
add-associates,
add-commutes,
le-add-cancel,
add-swap
\mforall{}[Value:Type]. \mforall{}[m:int-decr-map-type(Value)]. \mforall{}[k:\mBbbZ{}]. \mforall{}[v1,v2:Value].
(v1 = v2) supposing ((<k, v1> \mmember{} m) and (<k, v2> \mmember{} m))
Date html generated:
2015_07_17-AM-08_22_41
Last ObjectModification:
2015_04_02-PM-05_43_52
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