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Proof step 65 from proof union-addarray-rew (previous step)

newref(r0, st), newref(r0, st0), i < 0 ∨ n→i(# vals) ≤ i ⊦ r0 = jvmref, (0 ≤ i ∧ i < n→i(# vals) → r0 -- i ' ∈ st ∨ r0 -- i ' ∈ st0) ∧ (st ∪ st0)[r0 -- i '] = (st ∪ addarray(r0, ty, vals, st0))[r0 -- i ']

User applied rule case distinction

And obtained the following new goals

Proof step 64:
newref(r0, st), newref(r0, st0), i < 0 ∨ n→i(# vals) ≤ i ⊦ (st ∪ st0)[r0 -- i '] = (st ∪ addarray(r0, ty, vals, st0))[r0 -- i '], r0 = jvmref

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i ≤ j → (¬ ¬ j < i ↔ false)], [CSIMPSEQ : ⊦ i < j → (¬ ¬ j ≤ i ↔ false)])]]