Nuprl Lemma : eclass-compose1_wf

[Info,A,B:Type]. ∀[f:bag(A) ⟶ bag(B)]. ∀[X:EClass(A)].  (f X ∈ EClass(B))


Proof




Definitions occuring in Statement :  eclass-compose1: X eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t ∈ T function: x:A ⟶ B[x] universe: Type bag: bag(T)
Definitions unfolded in proof :  eclass: EClass(A[eo; e]) uall: [x:A]. B[x] member: t ∈ T eclass-compose1: X subtype_rel: A ⊆B

Latex:
\mforall{}[Info,A,B:Type].  \mforall{}[f:bag(A)  {}\mrightarrow{}  bag(B)].  \mforall{}[X:EClass(A)].    (f  o  X  \mmember{}  EClass(B))



Date html generated: 2016_05_16-PM-02_21_13
Last ObjectModification: 2015_12_29-AM-11_42_42

Theory : event-ordering


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