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m3_door.bpr
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<org.eventb.core.prHypAction name="FORWARD_INF0" org.eventb.core.prHyps="p7" org.eventb.core.prInfHyps="p29"/>
<org.eventb.core.prHypAction name="FORWARD_INF1" org.eventb.core.prHyps="p8" org.eventb.core.prInfHyps="p30"/>
<org.eventb.core.prHypAction name="DESELECT2" org.eventb.core.prHyps="p7,p8"/>
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<org.eventb.core.prAnte name="'" org.eventb.core.prGoal="p21">
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</org.eventb.core.prRule>
</org.eventb.core.prAnte>
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</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p31">
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</org.eventb.core.prAnte>
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</org.eventb.core.prRule>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="door" org.eventb.core.type="ℙ(CABINS×DOOR_STATE)"/>
<org.eventb.core.prIdent name="motor" org.eventb.core.type="ℙ(CABINS×MOTOR_STATE)"/>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(CABIN_FLOOR)⇒¬CABIN_FLOOR(c)∈ran({c} ⩤ CABIN_FLOOR)">
<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="¬OPEN=HALF">
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="c∈dom(motor)">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
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<org.eventb.core.prPred name="p9" org.eventb.core.predicate="partition(DOOR_STATE,{OPEN},{HALF},{CLOSED})">
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<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p23" org.eventb.core.predicate="motor∈CABINS ⇸ MOTOR_STATE"/>
<org.eventb.core.prPred name="p28" org.eventb.core.predicate="c∈dom(door)">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
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<org.eventb.core.prPred name="p14" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(CABIN_FLOOR)⇒CABIN_FLOOR(c)∉ran({c} ⩤ CABIN_FLOOR)">
<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(motor)"/>
<org.eventb.core.prPred name="p24" org.eventb.core.predicate="∀c⦂CABINS·motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE"/>
<org.eventb.core.prPred name="p26" org.eventb.core.predicate="motor(c)=ON">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="¬OPEN=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="motor∈CABINS → MOTOR_STATE"/>
<org.eventb.core.prPred name="p27" org.eventb.core.predicate="c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="(∀c⦂CABINS·⊤⇒c∈dom(motor)∧motor∈CABINS ⇸ MOTOR_STATE)∧(∀c⦂CABINS·⊤∧motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE)"/>
<org.eventb.core.prPred name="p22" org.eventb.core.predicate="⊤"/>
<org.eventb.core.prPred name="p31" org.eventb.core.predicate="door∈CABINS ⇸ DOOR_STATE"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="¬UP=DOWN">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="∀c⦂CABINS·(c∈CABINS⇒c∈dom(motor)∧motor∈CABINS ⇸ MOTOR_STATE)∧(c∈CABINS∧motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE)"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="SHAFTS={UP,DOWN}">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="¬HALF=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p25" org.eventb.core.predicate="motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="partition(MOTOR_STATE,{ON},{OFF})">
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="door∈CABINS → DOOR_STATE"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="(∀c⦂CABINS·c∈dom(motor))∧motor∈CABINS ⇸ MOTOR_STATE∧(∀c⦂CABINS·motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE)"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="DOOR_STATE={OPEN,HALF,CLOSED}">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="¬ON=OFF">
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="c∈CABINS">
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="MOTOR_STATE={ON,OFF}">
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="(∀c⦂CABINS·c∈CABINS⇒c∈dom(motor)∧motor∈CABINS ⇸ MOTOR_STATE)∧(∀c⦂CABINS·c∈CABINS∧motor(c)=ON⇒c∈dom(door)∧door∈CABINS ⇸ DOOR_STATE)"/>
<org.eventb.core.prPred name="p29" org.eventb.core.predicate="MOTOR_STATE={motor(c),OFF}">
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="partition(SHAFTS,{UP},{DOWN})">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p30" org.eventb.core.predicate="¬motor(c)=OFF">
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="c" org.eventb.core.type="CABINS"/>
</org.eventb.core.prPred>
<org.eventb.core.prExpr name="e0" org.eventb.core.expression="CABINS"/>
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<org.eventb.core.prReas name="r8" org.eventb.core.prRID="org.eventb.core.seqprover.impI"/>
<org.eventb.core.prReas name="r7" org.eventb.core.prRID="org.eventb.core.seqprover.isFunGoal"/>
<org.eventb.core.prReas name="r6" org.eventb.core.prRID="org.eventb.core.seqprover.trueGoal"/>
<org.eventb.core.prReas name="r4" org.eventb.core.prRID="org.eventb.core.seqprover.allI"/>
<org.eventb.core.prReas name="r9" org.eventb.core.prRID="org.eventb.core.seqprover.he:1"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.partitionRewrites"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
<org.eventb.core.prReas name="r5" org.eventb.core.prRID="org.eventb.core.seqprover.totalDom:2"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="INITIALISATION/SAF10/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="" org.eventb.core.prSets="CABINS,DOOR_STATE,MOTOR_STATE">
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<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(SHAFTS,{UP},{DOWN}))" org.eventb.core.prHyps="">
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<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(MOTOR_STATE,{ON},{OFF}))" org.eventb.core.prHyps="">
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<org.eventb.core.prHypAction name="SELECT1" org.eventb.core.prHyps="p8,p9,p10,p11"/>
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</org.eventb.core.prRule>
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
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<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
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<org.eventb.core.prPred name="p2" org.eventb.core.predicate="SHAFTS={UP,DOWN}">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
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<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="¬HALF=CLOSED">
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
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<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="partition(DOOR_STATE,{OPEN},{HALF},{CLOSED})">
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
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<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(CABIN_FLOOR)⇒CABIN_FLOOR(c)∉ran({c} ⩤ CABIN_FLOOR)">
<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="¬ON=OFF"/>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="MOTOR_STATE={ON,OFF}"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="¬OPEN=CLOSED">
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="partition(SHAFTS,{UP},{DOWN})">
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<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
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</org.eventb.core.prProof>
<org.eventb.core.prProof name="MotorStarts/SAF10/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="c" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3,p4,p5,p6,p7" org.eventb.core.prSets="CABINS,DOOR_STATE,MOTOR_STATE,SHAFTS">
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<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(SHAFTS,{UP},{DOWN}))" org.eventb.core.prHyps="">
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<org.eventb.core.prPred name="p13" org.eventb.core.predicate="¬HALF=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p17" org.eventb.core.predicate="∀c⦂CABINS·⊤∧motor(c)=ON⇒door(c)=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="¬ON=motor(cabin)">
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="partition(MOTOR_STATE,{ON},{OFF})">
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="door∈CABINS → DOOR_STATE"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="cabin∈dom(door)∧door∈CABINS ⇸ DOOR_STATE"/>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="DOOR_STATE={OPEN,HALF,CLOSED}">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="¬ON=OFF">
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="MOTOR_STATE={ON,OFF}">
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="partition(SHAFTS,{UP},{DOWN})">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="∀c⦂CABINS·motor(c)=ON⇒door(c)=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prExpr name="e0" org.eventb.core.expression="CABINS"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r3" org.eventb.core.prRID="org.eventb.core.seqprover.conj:0"/>
<org.eventb.core.prReas name="r7" org.eventb.core.prRID="org.eventb.core.seqprover.isFunGoal"/>
<org.eventb.core.prReas name="r6" org.eventb.core.prRID="org.eventb.core.seqprover.trueGoal"/>
<org.eventb.core.prReas name="r4" org.eventb.core.prRID="org.eventb.core.seqprover.he:1"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.partitionRewrites"/>
<org.eventb.core.prReas name="r2" org.eventb.core.prRID="org.eventb.core.seqprover.typeRewrites:1"/>
<org.eventb.core.prReas name="r5" org.eventb.core.prRID="org.eventb.core.seqprover.totalDom:2"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="DoorClosedToHalf/door_closed/WD" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1" org.eventb.core.prSets="CABINS,DOOR_STATE">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(SHAFTS,{UP},{DOWN}))" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p2" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p3,p4"/>
<org.eventb.core.prHypAction name="SELECT1" org.eventb.core.prHyps="p3,p4"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(MOTOR_STATE,{ON},{OFF}))" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p5" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p6,p7"/>
<org.eventb.core.prHypAction name="SELECT1" org.eventb.core.prHyps="p6,p7"/>
<org.eventb.core.prRule name="r0" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="Partition rewrites in hyp (partition(DOOR_STATE,{OPEN},{HALF},{CLOSED}))" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'">
<org.eventb.core.prHypAction name="REWRITE0" org.eventb.core.prHidden="p8" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p9,p10,p11,p12"/>
<org.eventb.core.prHypAction name="SELECT1" org.eventb.core.prHyps="p9,p10,p11,p12"/>
<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="p13" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p14"/>
<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="REWRITE0" org.eventb.core.prHidden="p15" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p16"/>
<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="p16" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p17"/>
<org.eventb.core.prRule name="r3" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="∧ goal" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'" org.eventb.core.prGoal="p18">
<org.eventb.core.prRule name="r4" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="total function dom substitution in goal" org.eventb.core.prGoal="p18" org.eventb.core.prHyps="p1">
<org.eventb.core.prAnte name="'" org.eventb.core.prGoal="p19">
<org.eventb.core.prRule name="r2" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="type rewrites" org.eventb.core.prGoal="p19" org.eventb.core.prHyps="">
<org.eventb.core.prAnte name="'" org.eventb.core.prGoal="p20">
<org.eventb.core.prRule name="r5" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="⊤ goal" org.eventb.core.prGoal="p20" org.eventb.core.prHyps=""/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prString name=".pos" org.eventb.core.prSValue="1"/>
<org.eventb.core.prExprRef name=".subst" org.eventb.core.prRef="e0"/>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p21">
<org.eventb.core.prRule name="r6" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="functional goal" org.eventb.core.prGoal="p21" org.eventb.core.prHyps="p1"/>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prString name=".pos" org.eventb.core.prSValue=""/>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prString name=".pos" org.eventb.core.prSValue=""/>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
<org.eventb.core.prString name=".pos" org.eventb.core.prSValue=""/>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="cabin" org.eventb.core.type="CABINS"/>
<org.eventb.core.prIdent name="door" org.eventb.core.type="ℙ(CABINS×DOOR_STATE)"/>
<org.eventb.core.prPred name="p20" org.eventb.core.predicate="⊤"/>
<org.eventb.core.prPred name="p21" org.eventb.core.predicate="door∈CABINS ⇸ DOOR_STATE"/>
<org.eventb.core.prPred name="p18" org.eventb.core.predicate="cabin∈dom(door)"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="¬UP=DOWN">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="SHAFTS={UP,DOWN}">
<org.eventb.core.prIdent name="DOWN" org.eventb.core.type="SHAFTS"/>
<org.eventb.core.prIdent name="SHAFTS" org.eventb.core.type="ℙ(SHAFTS)"/>
<org.eventb.core.prIdent name="UP" org.eventb.core.type="SHAFTS"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p19" org.eventb.core.predicate="cabin∈CABINS"/>
<org.eventb.core.prPred name="p14" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(CABIN_FLOOR)⇒¬CABIN_FLOOR(c)∈ran({c} ⩤ CABIN_FLOOR)">
<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p12" org.eventb.core.predicate="¬HALF=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p16" org.eventb.core.predicate="∀c⦂CABINS·⊤∧motor(c)=ON⇒door(c)=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="MOTOR_STATE" org.eventb.core.type="ℙ(MOTOR_STATE)"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="motor" org.eventb.core.type="ℙ(CABINS×MOTOR_STATE)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p15" org.eventb.core.predicate="∀c⦂CABINS·c∈CABINS∧motor(c)=ON⇒door(c)=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="MOTOR_STATE" org.eventb.core.type="ℙ(MOTOR_STATE)"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="motor" org.eventb.core.type="ℙ(CABINS×MOTOR_STATE)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p5" org.eventb.core.predicate="partition(MOTOR_STATE,{ON},{OFF})">
<org.eventb.core.prIdent name="MOTOR_STATE" org.eventb.core.type="ℙ(MOTOR_STATE)"/>
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p10" org.eventb.core.predicate="¬OPEN=HALF">
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p8" org.eventb.core.predicate="partition(DOOR_STATE,{OPEN},{HALF},{CLOSED})">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="door∈CABINS → DOOR_STATE"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="cabin∈dom(door)∧door∈CABINS ⇸ DOOR_STATE"/>
<org.eventb.core.prPred name="p9" org.eventb.core.predicate="DOOR_STATE={OPEN,HALF,CLOSED}">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="HALF" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p13" org.eventb.core.predicate="∀c⦂CABINS·c∈dom(CABIN_FLOOR)⇒CABIN_FLOOR(c)∉ran({c} ⩤ CABIN_FLOOR)">
<org.eventb.core.prIdent name="CABIN_FLOOR" org.eventb.core.type="ℙ(CABINS×ℤ)"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p7" org.eventb.core.predicate="¬ON=OFF">
<org.eventb.core.prIdent name="MOTOR_STATE" org.eventb.core.type="ℙ(MOTOR_STATE)"/>
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p6" org.eventb.core.predicate="MOTOR_STATE={ON,OFF}">
<org.eventb.core.prIdent name="MOTOR_STATE" org.eventb.core.type="ℙ(MOTOR_STATE)"/>
<org.eventb.core.prIdent name="OFF" org.eventb.core.type="MOTOR_STATE"/>
<org.eventb.core.prIdent name="ON" org.eventb.core.type="MOTOR_STATE"/>
</org.eventb.core.prPred>
<org.eventb.core.prPred name="p11" org.eventb.core.predicate="¬OPEN=CLOSED">
<org.eventb.core.prIdent name="CLOSED" org.eventb.core.type="DOOR_STATE"/>
<org.eventb.core.prIdent name="OPEN" org.eventb.core.type="DOOR_STATE"/>