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{ f,g:x:Id fp-> Type. x:Id.
    (x  dom(f  g)  (x  dom(f))  (x  dom(g))) }

{ Proof }

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Definitions occuring in Statement :  fpf-join: f  g,  fpf-dom: x  dom(f),  fpf: a:A fp-> B[a],  id-deq: IdDeq,  Id: Id,  assert: b,  all: x:A. B[x],  iff: P  Q,  or: P  Q,  universe: Type
Definitions :  all: x:A. B[x],  member: t  T,  so_lambda: x.t[x],  prop: ,  or: P  Q,  iff: P  Q,  and: P  Q,  implies: P  Q,  rev_implies: P  Q,  so_apply: x[s]
Lemmas :  Id_wf,  fpf_wf,  assert_wf,  fpf-dom_wf,  id-deq_wf,  fpf-join_wf,  top_wf,  fpf-trivial-subtype-top,  iff_functionality_wrt_iff,  fpf-join-dom

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\mforall{}f,g:x:Id  fp->  Type.  \mforall{}x:Id.    (\muparrow{}x  \mmember{}  dom(f  \moplus{}  g)  \mLeftarrow{}{}\mRightarrow{}  (\muparrow{}x  \mmember{}  dom(f))  \mvee{}  (\muparrow{}x  \mmember{}  dom(g)))


Date html generated: 2010_08_27-AM-12_00_16
Last ObjectModification: 2008_02_27-PM-09_45_59

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