Pattern-Instanciation-On-System-Engineering-Model/Event-B/pseim/test.bpr

<?xml version="1.0" encoding="UTF-8" standalone="no"?>
<org.eventb.core.prFile version="1">
<org.eventb.core.prProof name="e/r1/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2,p3">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" 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="p1" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p4"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="ML" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p2,p3,p4">
<org.eventb.core.prString name=".arg" org.eventb.core.prSValue="0;1:500"/>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="r" org.eventb.core.type="ℙ(ℤ×ℤ)"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="0∉ran(r)"/>
<org.eventb.core.prPred name="p4" org.eventb.core.predicate="¬0∈ran(r)"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="r{0 ↦ 0}∈ℕ ↔ ℕ"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="r∈ℕ ↔ ℕ"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="r∼∈ℕ → ℕ"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalML:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="e/r2/INV" org.eventb.core.confidence="1000" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p1,p2">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" 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="p1" org.eventb.core.prHyps="" org.eventb.core.prInfHyps="p3"/>
<org.eventb.core.prRule name="r1" org.eventb.core.confidence="1000" org.eventb.core.prDisplay="PP" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="p2,p3">
<org.eventb.core.prString name=".arg" org.eventb.core.prSValue="R500"/>
</org.eventb.core.prRule>
</org.eventb.core.prAnte>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="r" org.eventb.core.type="ℙ(ℤ×ℤ)"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="0∉ran(r)"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="(r{0 ↦ 0})∼∈ℕ → ℕ"/>
<org.eventb.core.prPred name="p3" org.eventb.core.predicate="¬0∈ran(r)"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="r∼∈ℕ → ℕ"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.autoRewritesL4:0"/>
<org.eventb.core.prReas name="r1" org.eventb.core.prRID="com.clearsy.atelierb.provers.core.externalPP:1"/>
</org.eventb.core.prProof>
<org.eventb.core.prProof name="e/r/WD" org.eventb.core.confidence="0" org.eventb.core.prFresh="" org.eventb.core.prGoal="p0" org.eventb.core.prHyps="">
<org.eventb.core.lang name="L"/>
<org.eventb.core.prRule name="r0" 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="p1"/>
<org.eventb.core.prAnte name="(" org.eventb.core.prGoal="p2"/>
</org.eventb.core.prRule>
<org.eventb.core.prIdent name="r" org.eventb.core.type="ℙ(ℤ×ℤ)"/>
<org.eventb.core.prPred name="p2" org.eventb.core.predicate="r∈ℤ ⇸ ℤ"/>
<org.eventb.core.prPred name="p0" org.eventb.core.predicate="0∈dom(r)∧r∈ℤ ⇸ ℤ"/>
<org.eventb.core.prPred name="p1" org.eventb.core.predicate="0∈dom(r)"/>
<org.eventb.core.prReas name="r0" org.eventb.core.prRID="org.eventb.core.seqprover.conj:0"/>
</org.eventb.core.prProof>
</org.eventb.core.prFile>