{ [x:ClassDerivation]
    cdvreccomb-fun(x)  cdvreccomb-argtype(x)
                         bag(cdvreccomb-typ(x))
                         bag(cdvreccomb-typ(x)) 
    supposing cdvreccomb?(x) }

{ Proof }



Definitions occuring in Statement :  cdvreccomb-fun: cdvreccomb-fun(x) cdvreccomb-argtype: cdvreccomb-argtype(x) cdvreccomb-typ: cdvreccomb-typ(x) cdvreccomb?: cdvreccomb?(x) classderiv: ClassDerivation assert: b uimplies: b supposing a uall: [x:A]. B[x] member: t  T function: x:A  B[x] bag: bag(T)
Definitions :  true: True natural_number: $n classderiv_ind: classderiv_ind apply: f a it: false: False classderiv_ind_cdvreccomb: classderiv_ind_cdvreccomb_compseq_tag_def classderiv_ind_cdvcomb: classderiv_ind_cdvcomb_compseq_tag_def classderiv_ind_cdvdelay: classderiv_ind_cdvdelay_compseq_tag_def classderiv_ind_cdvpair: classderiv_ind_cdvpair_compseq_tag_def classderiv_ind_cdvbase: classderiv_ind_cdvbase_compseq_tag_def int: unit: Unit set: {x:A| B[x]}  product: x:A  B[x] universe: Type base-deriv: BaseDef union: left + right rec: rec(x.A[x]) implies: P  Q all: x:A. B[x] cdvreccomb?: cdvreccomb?(x) uall: [x:A]. B[x] cdvreccomb-argtype: cdvreccomb-argtype(x) function: x:A  B[x] bag: bag(T) cdvreccomb-typ: cdvreccomb-typ(x) cdvreccomb-fun: cdvreccomb-fun(x) classderiv: ClassDerivation axiom: Ax uimplies: b supposing a isect: x:A. B[x] assert: b prop: member: t  T equal: s = t
Lemmas :  assert_wf cdvreccomb?_wf classderiv_wf false_wf true_wf

\mforall{}[x:ClassDerivation]
    cdvreccomb-fun(x)  \mmember{}  cdvreccomb-argtype(x)  {}\mrightarrow{}  bag(cdvreccomb-typ(x))  {}\mrightarrow{}  bag(cdvreccomb-typ(x)) 
    supposing  \muparrow{}cdvreccomb?(x)


Date html generated: 2011_08_17-PM-04_26_31
Last ObjectModification: 2011_06_18-AM-11_38_51

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