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Proof step 24 from proof okarray-init-07 (previous step)

newref(r, st) ⊦ r = jvmref, (∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → is_bytevalue(addarray(r, byte_type, vals, st)[r -- j '])) ↔ (∀ val. val ∈ vals → is_bytevalue(val))

User applied rule case distinction

And obtained the following new goals

Proof step 14:
∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → is_bytevalue(addarray(r, byte_type, vals, st)[r -- j ']), newref(r, st) ⊦ ∀ val. val ∈ vals → is_bytevalue(val), r = jvmref
Proof step 23:
∀ val. val ∈ vals → is_bytevalue(val), newref(r, st) ⊦ ∀ j. ¬ j < 0 ∧ ¬ n→i(# vals) ≤ j → is_bytevalue(addarray(r, byte_type, vals, st)[r -- j ']), r = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]