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Proof step 10 from proof validmode-throw-predef (previous step)

is_predefined_class(class), class ≤ `java.lang.Throwable' .class, newref(r, st) ⊦ r = jvmref, validmode(str, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ validmode(str, st) ↔ _mode ∈ st ∧ validmode(str, st[_mode], st)
Proof step 9:
is_predefined_class(class), class ≤ `java.lang.Throwable' .class, newref(r, st) ⊦ r = jvmref, _mode ∈ (addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))]) ∧ validmode(str, addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))][_mode], addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))])

Rule argument

[crewrite-arg: validmode-def , F , [st, str] → [addobj(r, class, [], st)[_mode, throw(r, mkclasstype(class))], str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addobj(r, class, [], st) [_mode, throw(r, mkclasstype(class)) ], str)]]