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m10.bpr
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<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<org.eventb.core.prFile version="1">
<org.eventb.core.prProof name="INITIALISATION/inv1/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="" org.eventb.core.prSets="ACTION,CONTEXT,EMPLOYEE,RESOURCE">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="generalized MP" org.eventb.core.prHyps="">
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<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="simplification rewrites" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'" org.eventb.core.prGoal="p13">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p4" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p5,p6,p7,p8"/>
<org.eventb.core.prHypAction name="REWRITE1" org.eventb.core.prHidden="p2" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p9,p10,p11,p12"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p13" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
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</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="⊤"/>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="finite(VIEW)">
<org.eventb.core.prIdent name="VIEW" org.eventb.core.type="ℙ(VIEW)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="finite(UNIT)∧finite(ORG)∧finite(ROLE)∧finite(EMPLOYEE)∧finite(CONTEXT)">
<org.eventb.core.prIdent name="ORG" org.eventb.core.type="ℙ(ORG)"/>
<org.eventb.core.prIdent name="ROLE" org.eventb.core.type="ℙ(ROLE)"/>
<org.eventb.core.prIdent name="UNIT" org.eventb.core.type="ℙ(UNIT)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="finite(ACTIVITY)∧finite(ACTION)∧finite(VIEW)∧finite(RESOURCE)">
<org.eventb.core.prIdent name="ACTIVITY" org.eventb.core.type="ℙ(ACTIVITY)"/>
<org.eventb.core.prIdent name="VIEW" org.eventb.core.type="ℙ(VIEW)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="finite(CONTEXT)"/>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="finite(ACTION)"/>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="finite(EMPLOYEE)"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="finite(UNIT)">
<org.eventb.core.prIdent name="UNIT" org.eventb.core.type="ℙ(UNIT)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="(∅ ⦂ ℙ(ℤ×(ℤ×EMPLOYEE×ACTION×RESOURCE×ℤ×ℤ×CONTEXT)×EMPLOYEE×ℤ))⊆ℕ1 × (∅ ⦂ ℙ(ℤ×EMPLOYEE×ACTION×RESOURCE×ℤ×ℤ×CONTEXT)) × EMPLOYEE × 0 ‥ 1"/>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="finite(RESOURCE)"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="finite(ORG)">
<org.eventb.core.prIdent name="ORG" org.eventb.core.type="ℙ(ORG)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="finite(ACTIVITY)">
<org.eventb.core.prIdent name="ACTIVITY" org.eventb.core.type="ℙ(ACTIVITY)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="finite(ROLE)">
<org.eventb.core.prIdent name="ROLE" org.eventb.core.type="ℙ(ROLE)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="finite(UNIT)∧finite(ORG)∧finite(ROLE)∧finite(EMPLOYEE)∧⊤">
<org.eventb.core.prIdent name="ORG" org.eventb.core.type="ℙ(ORG)"/>
<org.eventb.core.prIdent name="ROLE" org.eventb.core.type="ℙ(ROLE)"/>
<org.eventb.core.prIdent name="UNIT" org.eventb.core.type="ℙ(UNIT)"/>
</org.eventb.core.prPred>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.trueGoal"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.genMPL4"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="Request_Access/inv1/INV" org.eventb.core.confidence="0" org.eventb.core.prFresh="" org.eventb.core.prHyps="p0" org.eventb.core.prSets="ACTION,ACTIVITY,CONTEXT,EMPLOYEE,ORG,PERMISSION,RESOURCE,ROLE,UNIT,VIEW">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="generalized MP" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p1" org.eventb.core.prHyps="p3" org.eventb.core.prInfHyps="p2"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="simplification rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p4" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p5,p6,p7,p8"/>
<org.eventb.core.prHypAction name="REWRITE1" org.eventb.core.prHidden="p9" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p10"/>
<org.eventb.core.prHypAction name="REWRITE2" org.eventb.core.prHidden="p11" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p12"/>
<org.eventb.core.prHypAction name="REWRITE3" org.eventb.core.prHidden="p13" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p14"/>
<org.eventb.core.prHypAction name="REWRITE4" org.eventb.core.prHidden="p15" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p16"/>
<org.eventb.core.prHypAction name="REWRITE5" org.eventb.core.prHidden="p17" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p18,p19,p20,p21"/>
<org.eventb.core.prHypAction name="REWRITE6" org.eventb.core.prHidden="p2" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p22,p23,p24,p25"/>
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p26"/>
<org.eventb.core.prHypAction name="HIDE1" org.eventb.core.prHyps="p27"/>
<org.eventb.core.prHypAction name="HIDE2" org.eventb.core.prHyps="p28"/>
<org.eventb.core.prHypAction name="HIDE3" org.eventb.core.prHyps="p29"/>
<org.eventb.core.prHypAction name="HIDE4" org.eventb.core.prHyps="p30"/>
<org.eventb.core.prHypAction name="HIDE5" org.eventb.core.prHyps="p31"/>
<org.eventb.core.prHypAction name="HIDE6" org.eventb.core.prHyps="p32"/>
<org.eventb.core.prHypAction name="HIDE7" org.eventb.core.prHyps="p33"/>
<org.eventb.core.prHypAction name="HIDE8" org.eventb.core.prHyps="p34"/>
<org.eventb.core.prHypAction name="HIDE9" org.eventb.core.prHyps="p35"/>
<org.eventb.core.prHypAction name="HIDE10" org.eventb.core.prHyps="p36"/>
<org.eventb.core.prHypAction name="HIDE11" org.eventb.core.prHyps="p18"/>
<org.eventb.core.prHypAction name="HIDE12" org.eventb.core.prHyps="p19"/>
<org.eventb.core.prHypAction name="HIDE13" org.eventb.core.prHyps="p20"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="One Point Rule in ∃u,r,v,p,org,act,c,rio,aio,vio,cio,acio·e ↦ u∈EA∧u ↦ org∈OU∧rio=r ↦ org∧rio∈RiO∧u ↦ rio∈UR∧p ↦ rio∈PRA∧vio=v ↦ org∧vio∈ViO∧o ↦ vio∈RV∧p ↦ vio∈PVA∧aio=act ↦ org∧p ↦ aio∈PAA∧a ↦ vio∈AV∧a ↦ aio∈AA∧cio=c ↦ org∧p ↦ cio∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA" org.eventb.core.prHyps="p0">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p0" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p37"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="One Point Rule in ∃u,r,v,p,org,act,c,aio,vio,cio,acio·e ↦ u∈EA∧u ↦ org∈OU∧r ↦ org∈RiO∧u ↦ (r ↦ org)∈UR∧p ↦ (r ↦ org)∈PRA∧vio=v ↦ org∧vio∈ViO∧o ↦ vio∈RV∧p ↦ vio∈PVA∧aio=act ↦ org∧p ↦ aio∈PAA∧a ↦ vio∈AV∧a ↦ aio∈AA∧cio=c ↦ org∧p ↦ cio∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA" org.eventb.core.prHyps="p37">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p37" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p38"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="One Point Rule in ∃u,r,v,p,org,act,c,aio,cio,acio·e ↦ u∈EA∧u ↦ org∈OU∧r ↦ org∈RiO∧u ↦ (r ↦ org)∈UR∧p ↦ (r ↦ org)∈PRA∧v ↦ org∈ViO∧o ↦ (v ↦ org)∈RV∧p ↦ (v ↦ org)∈PVA∧aio=act ↦ org∧p ↦ aio∈PAA∧a ↦ (v ↦ org)∈AV∧a ↦ aio∈AA∧cio=c ↦ org∧p ↦ cio∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA" org.eventb.core.prHyps="p38">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p38" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p39"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="One Point Rule in ∃u,r,v,p,org,act,c,cio,acio·e ↦ u∈EA∧u ↦ org∈OU∧r ↦ org∈RiO∧u ↦ (r ↦ org)∈UR∧p ↦ (r ↦ org)∈PRA∧v ↦ org∈ViO∧o ↦ (v ↦ org)∈RV∧p ↦ (v ↦ org)∈PVA∧p ↦ (act ↦ org)∈PAA∧a ↦ (v ↦ org)∈AV∧a ↦ (act ↦ org)∈AA∧cio=c ↦ org∧p ↦ cio∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA" org.eventb.core.prHyps="p39">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p39" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p40"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="One Point Rule in ∃u,r,v,p,org,act,c,acio·e ↦ u∈EA∧u ↦ org∈OU∧r ↦ org∈RiO∧u ↦ (r ↦ org)∈UR∧p ↦ (r ↦ org)∈PRA∧v ↦ org∈ViO∧o ↦ (v ↦ org)∈RV∧p ↦ (v ↦ org)∈PVA∧p ↦ (act ↦ org)∈PAA∧a ↦ (v ↦ org)∈AV∧a ↦ (act ↦ org)∈AA∧p ↦ (c ↦ org)∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA" org.eventb.core.prHyps="p40">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p40" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p41"/>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p42">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p40"/>
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p42" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p42">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p39"/>
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p42" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p42">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p38"/>
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p42" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p42">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p37"/>
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p42" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p42">
<org.eventb.core.prHypAction name="HIDE0" org.eventb.core.prHyps="p0"/>
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p42" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="AA" org.eventb.core.type="ℙ(ACTION×(ACTIVITY×ORG))"/>
<org.eventb.core.prIdent name="AV" org.eventb.core.type="ℙ(ACTION×(VIEW×ORG))"/>
<org.eventb.core.prIdent name="EA" org.eventb.core.type="ℙ(EMPLOYEE×UNIT)"/>
<org.eventb.core.prIdent name="OU" org.eventb.core.type="ℙ(UNIT×ORG)"/>
<org.eventb.core.prIdent name="PAA" org.eventb.core.type="ℙ(PERMISSION×(ACTIVITY×ORG))"/>
<org.eventb.core.prIdent name="PAcA" org.eventb.core.type="ℙ(PERMISSION×(CONTEXT×ORG))"/>
<org.eventb.core.prIdent name="PCxA" org.eventb.core.type="ℙ(PERMISSION×(CONTEXT×ORG))"/>
<org.eventb.core.prIdent name="PDistA" org.eventb.core.type="ℙ(PERMISSION×ℤ)"/>
<org.eventb.core.prIdent name="PRA" org.eventb.core.type="ℙ(PERMISSION×(ROLE×ORG))"/>
<org.eventb.core.prIdent name="PVA" org.eventb.core.type="ℙ(PERMISSION×(VIEW×ORG))"/>
<org.eventb.core.prIdent name="RV" org.eventb.core.type="ℙ(RESOURCE×(VIEW×ORG))"/>
<org.eventb.core.prIdent name="RiO" org.eventb.core.type="ℙ(ROLE×ORG)"/>
<org.eventb.core.prIdent name="UR" org.eventb.core.type="ℙ(UNIT×(ROLE×ORG))"/>
<org.eventb.core.prIdent name="ViO" org.eventb.core.type="ℙ(VIEW×ORG)"/>
<org.eventb.core.prIdent name="a" org.eventb.core.type="ACTION"/>
<org.eventb.core.prIdent name="ac" org.eventb.core.type="CONTEXT"/>
<org.eventb.core.prIdent name="dist" org.eventb.core.type="ℤ"/>
<org.eventb.core.prIdent name="e" org.eventb.core.type="EMPLOYEE"/>
<org.eventb.core.prIdent name="o" org.eventb.core.type="RESOURCE"/>
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<org.eventb.core.prPred name="p0" org.eventb.core.predicate="∃u⦂UNIT,r⦂ROLE,v⦂VIEW,p⦂PERMISSION,org⦂ORG,act⦂ACTIVITY,c⦂CONTEXT,rio⦂ROLE×ORG,aio⦂ACTIVITY×ORG,vio⦂VIEW×ORG,cio⦂CONTEXT×ORG,acio⦂CONTEXT×ORG·e ↦ u∈EA∧u ↦ org∈OU∧rio=r ↦ org∧rio∈RiO∧u ↦ rio∈UR∧p ↦ rio∈PRA∧vio=v ↦ org∧vio∈ViO∧o ↦ vio∈RV∧p ↦ vio∈PVA∧aio=act ↦ org∧p ↦ aio∈PAA∧a ↦ vio∈AV∧a ↦ aio∈AA∧cio=c ↦ org∧p ↦ cio∈PCxA∧p ↦ dist∈PDistA∧acio=ac ↦ org∧p ↦ acio∈PAcA"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="finite(UNIT)∧finite(ORG)∧finite(ROLE)∧finite(EMPLOYEE)∧finite(CONTEXT)"/>
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<org.eventb.core.prIdent name="EA1" org.eventb.core.type="ℙ(EMPLOYEE×UNIT)"/>
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<org.eventb.core.prIdent name="RiO1" org.eventb.core.type="ℙ(ROLE×ORG)"/>
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<org.eventb.core.prIdent name="CA1" org.eventb.core.type="ℙ(COR×UNIT×ℤ×ℤ)"/>
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<org.eventb.core.prIdent name="UR1" org.eventb.core.type="ℙ(UNIT×(ROLE×ORG))"/>
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<org.eventb.core.prIdent name="CiO" org.eventb.core.type="ℙ(CONTEXT×ORG)"/>
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<org.eventb.core.prPred name="p34" org.eventb.core.predicate="AiO1⊆ACTIVITY × ORG">
<org.eventb.core.prIdent name="AiO1" org.eventb.core.type="ℙ(ACTIVITY×ORG)"/>
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<org.eventb.core.prPred name="p6" org.eventb.core.predicate="finite(ACTION)"/>
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<org.eventb.core.prIdent name="OU1" org.eventb.core.type="ℙ(UNIT×ORG)"/>
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<org.eventb.core.prIdent name="Access_Requested" org.eventb.core.type="ℙ(ℤ×EMPLOYEE×ACTION×RESOURCE×COR)"/>
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<org.eventb.core.prIdent name="UH1" org.eventb.core.type="ℙ(UNIT×UNIT)"/>
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<org.eventb.core.prIdent name="OU1" org.eventb.core.type="ℙ(UNIT×ORG)"/>
<org.eventb.core.prIdent name="UH1" org.eventb.core.type="ℙ(UNIT×UNIT)"/>
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<org.eventb.core.prPred name="p22" org.eventb.core.predicate="EA⊆EMPLOYEE × UNIT">
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<org.eventb.core.prPred name="p24" org.eventb.core.predicate="EA1⊆EMPLOYEE × UNIT">
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<org.eventb.core.prIdent name="CiO" org.eventb.core.type="ℙ(CONTEXT×ORG)"/>
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<org.eventb.core.prPred name="p26" org.eventb.core.predicate="AiO1⊆ACTIVITY × ORG">
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<org.eventb.core.prPred name="p11" org.eventb.core.predicate="finite(RESOURCE)"/>
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<org.eventb.core.prIdent name="Access_Requested" org.eventb.core.type="ℙ(ℤ×EMPLOYEE×ACTION×RESOURCE×ℤ×ℤ×CONTEXT)"/>
<org.eventb.core.prIdent name="Request_Treated" org.eventb.core.type="ℙ(ℤ×(ℤ×EMPLOYEE×ACTION×RESOURCE×ℤ×ℤ×CONTEXT)×EMPLOYEE×ℤ)"/>
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<org.eventb.core.prIdent name="r" org.eventb.core.type="ℤ×EMPLOYEE×ACTION×RESOURCE×ℤ×ℤ×CONTEXT"/>
<org.eventb.core.prIdent name="s" org.eventb.core.type="EMPLOYEE"/>
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<org.eventb.core.prIdent name="OU1" org.eventb.core.type="ℙ(UNIT×ORG)"/>
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<org.eventb.core.prIdent name="OU1" org.eventb.core.type="ℙ(UNIT×ORG)"/>
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<org.eventb.core.prIdent name="UR1" org.eventb.core.type="ℙ(UNIT×(ROLE×ORG))"/>
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