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Proof step 4 from proof le-09 (previous step)

⊦ `java.lang.NullPointerException' .class ≤ class ↔ class = `java.lang.NullPointerException' .class ∨ class = `java.lang.RuntimeException' .class ∨ class = `java.lang.Exception' .class ∨ class = `java.lang.Throwable' .class ∨ class = `java.lang.Object' .class

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ class1 ≤ class2 ↔ class2 = `java.lang.Object' .class ∨ class1 = class2 ∨ class1 <_1 class2 ∨ (∃ class3. class1 <_1 class3 ∧ class3 ≤ class2)
Proof step 2:
⊦ `java.lang.NullPointerException' .class <_1 class ↔ class = `java.lang.RuntimeException' .class
Proof step 3:
⊦ `java.lang.RuntimeException' .class ≤ class ↔ ¬ ¬ ( class = `java.lang.RuntimeException' .class ∨ class = `java.lang.Exception' .class ∨ class = `java.lang.Throwable' .class ∨ class = `java.lang.Object' .class)

Rule argument

[x0lemmaarg: spec-name: classnamefuns instance-name: lemma-name: le-one antecedent: succedent: class1 ≤ class2 ↔ class2 = `java.lang.Object' .class ∨ class1 = class2 ∨ class1 <_1 class2 ∨ (∃ class3. class1 <_1 class3 ∧ class3 ≤ class2) substlist: [class2, class1] → [class, `java.lang.NullPointerException' .class] add preconditions?: F is rewrite lemma?: T current spec?: F rotate lemma?: F replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class, `java.lang.NullPointerException' .class)]]