{ [x:Pi_term]. picomm-body(x)  Pi_term supposing picomm?(x) }

{ Proof }



Definitions occuring in Statement :  picomm-body: picomm-body(x) picomm?: picomm?(x) pi_term: Pi_term assert: b uimplies: b supposing a uall: [x:A]. B[x] member: t  T
Definitions :  uall: [x:A]. B[x] pi_term: Pi_term uimplies: b supposing a assert: b picomm?: picomm?(x) member: t  T picomm-body: picomm-body(x) implies: P  Q bfalse: ff btrue: tt ifthenelse: if b then t else f fi  unit: Unit false: False it: pizero: 0 prop: picomm: pre.body pioption: (left + right) pipar: (left | right) pirep: !body pinew: (new name. body)
Lemmas :  pi_term_wf false_wf true_wf assert_wf picomm?_wf

\mforall{}[x:Pi\_term].  picomm-body(x)  \mmember{}  Pi\_term  supposing  \muparrow{}picomm?(x)


Date html generated: 2011_08_17-PM-06_43_20
Last ObjectModification: 2011_06_18-PM-12_11_24

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