Nuprl Lemma : Memory-loc-class_wf

[Info,B,A:Type]. ∀[f:Id ⟶ A ⟶ B ⟶ B]. ∀[init:Id ⟶ bag(B)]. ∀[X:EClass(A)].
  (Memory-loc-class(f;init;X) ∈ EClass(B))


Proof




Definitions occuring in Statement :  Memory-loc-class: Memory-loc-class(f;init;X) eclass: EClass(A[eo; e]) Id: Id uall: [x:A]. B[x] member: t ∈ T function: x:A ⟶ B[x] universe: Type bag: bag(T)
Definitions unfolded in proof :  uall: [x:A]. B[x] member: t ∈ T Memory-loc-class: Memory-loc-class(f;init;X) so_lambda: λ2y.t[x; y] subtype_rel: A ⊆B so_apply: x[s1;s2]

Latex:
\mforall{}[Info,B,A:Type].  \mforall{}[f:Id  {}\mrightarrow{}  A  {}\mrightarrow{}  B  {}\mrightarrow{}  B].  \mforall{}[init:Id  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].
    (Memory-loc-class(f;init;X)  \mmember{}  EClass(B))



Date html generated: 2016_05_17-AM-09_21_36
Last ObjectModification: 2015_12_29-PM-04_06_27

Theory : classrel!lemmas


Home Index