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Proof step 12 from proof validmode-addarray (previous step)

newref(r, st), validmode(str, st[_mode], st), _mode ∈ st ⊦ r = jvmref, validmode(str, addarray(r, ty, vals, st))

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 2:
⊦ validmode(str, st) ↔ _mode ∈ st ∧ validmode(str, st[_mode], st)
Proof step 11:
newref(r, st), validmode(str, st[_mode], st), _mode ∈ st ⊦ r = jvmref, _mode ∈ addarray(r, ty, vals, st) ∧ validmode(str, addarray(r, ty, vals, st)[_mode], addarray(r, ty, vals, st))

Rule argument

[crewrite-arg: validmode-def , F , [st, str] → [addarray(r, ty, vals, st), str] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (addarray(r, ty, vals, st), str)]]