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Proof step 19 from proof class-le-predef (previous step)

is_predefined_class(class), class ≤ class0 ⊦ is_predefined_class(class0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ is_predefined_class(class) ↔ class = `java.lang.Object' .class ∨ class = `*Array*' .class ∨ class = `java.lang.NullPointerException' .class ∨ class = `java.lang.ArithmeticException' .class ∨ class = `java.lang.ClassCastException' .class ∨ class = `java.lang.ArrayStoreException' .class ∨ class = `java.lang.NegativeArraySizeException' .class ∨ class = `java.lang.ArrayIndexOutOfBoundsException' .class ∨ class = `java.lang.IndexOutOfBoundsException' .class ∨ class = `java.lang.NoClassDefFoundError' .class ∨ class = `java.lang.ExceptionInInitializerError' .class ∨ class = `java.lang.Error' .class ∨ class = `java.lang.RuntimeException' .class ∨ class = `java.lang.Exception' .class ∨ class = `java.lang.Throwable' .class
Proof step 18:
class = `java.lang.Object' .class ∨ class = `*Array*' .class ∨ class = `java.lang.NullPointerException' .class ∨ class = `java.lang.ArithmeticException' .class ∨ class = `java.lang.ClassCastException' .class ∨ class = `java.lang.ArrayStoreException' .class ∨ class = `java.lang.NegativeArraySizeException' .class ∨ class = `java.lang.ArrayIndexOutOfBoundsException' .class ∨ class = `java.lang.IndexOutOfBoundsException' .class ∨ class = `java.lang.NoClassDefFoundError' .class ∨ class = `java.lang.ExceptionInInitializerError' .class ∨ class = `java.lang.Error' .class ∨ class = `java.lang.RuntimeException' .class ∨ class = `java.lang.Exception' .class ∨ class = `java.lang.Throwable' .class, class ≤ class0 ⊦ is_predefined_class(class0)

Rule argument

[x0lemmaarg: spec-name: predefined instance-name: lemma-name: predefined antecedent: succedent: is_predefined_class(class) ↔ class = `java.lang.Object' .class ∨ class = `*Array*' .class ∨ class = `java.lang.NullPointerException' .class ∨ class = `java.lang.ArithmeticException' .class ∨ class = `java.lang.ClassCastException' .class ∨ class = `java.lang.ArrayStoreException' .class ∨ class = `java.lang.NegativeArraySizeException' .class ∨ class = `java.lang.ArrayIndexOutOfBoundsException' .class ∨ class = `java.lang.IndexOutOfBoundsException' .class ∨ class = `java.lang.NoClassDefFoundError' .class ∨ class = `java.lang.ExceptionInInitializerError' .class ∨ class = `java.lang.Error' .class ∨ class = `java.lang.RuntimeException' .class ∨ class = `java.lang.Exception' .class ∨ class = `java.lang.Throwable' .class substlist: [class] → [class] add preconditions?: F is rewrite lemma?: T current spec?: T rotate lemma?: F replace all?: T paths: () dummy: () ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (class)]]