Nuprl Lemma : bm_E-wf2

∀[T,Key:Type].  (bm_E() ∈ binary-map(T;Key))


Proof




Definitions occuring in Statement :  binary-map: binary-map(T;Key),  bm_E: bm_E(),  uall: ∀[x:A]. B[x],  member: t ∈ T,  universe: Type
Definitions unfolded in proof :  uall: ∀[x:A]. B[x],  member: t ∈ T,  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,  binary-map: binary-map(T;Key),  prop: ℙ

Latex:
\mforall{}[T,Key:Type].    (bm\_E()  \mmember{}  binary-map(T;Key))



Date html generated: 2016_05_17-PM-01_38_53
Last ObjectModification: 2015_12_28-PM-08_10_16

Theory : binary-map


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