Nuprl Lemma : bm_empty_wf
∀[T,Key:Type]. (bm_empty() ∈ binary-map(T;Key))
Proof
Definitions occuring in Statement :
bm_empty: bm_empty(),
binary-map: binary-map(T;Key),
uall: ∀[x:A]. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
bm_empty: bm_empty(),
binary-map: binary-map(T;Key),
assert: ↑b,
ifthenelse: if b then t else f fi ,
bm_cnt_prop: bm_cnt_prop(m),
pi2: snd(t),
bm_cnt_prop0: bm_cnt_prop0(m),
binary_map_ind: binary_map_ind(v;E;key,value,cnt,left,right,rec1,rec2.T[key;value;cnt;left;right;rec1;rec2]),
bm_E: bm_E(),
btrue: tt,
true: True,
prop: ℙ
Latex:
\mforall{}[T,Key:Type]. (bm\_empty() \mmember{} binary-map(T;Key))
Date html generated:
2016_05_17-PM-01_38_26
Last ObjectModification:
2015_12_28-PM-08_10_24
Theory : binary-map
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