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Proof step 45 from proof add-putbar-rew (previous step)

⊦ r = r0, ( r1 = r ∧ i ≤ i0 ∧ i0 < i + n→i(# bytes) ∨ r1 -- i0 ' ∈ addobj(r0, class, fis, st) ↔ r1 -- i0 ' ∈ addobj(r0, class, fis, putByteArray(bytes, r, i, st))) ∧ (putByteArray(bytes, r, i, addobj(r0, class, fis, st))[r1 -- i0 ']) = (addobj(r0, class, fis, putByteArray(bytes, r, i, st))[r1 -- i0 '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 21:
⊦ r ≠ r0 → (putByteArray(bytes, r, j, st)[r0 -- sk]) = st[r0 -- sk]
Proof step 30:
¬ r ≠ r1 ⊦ r = r0, ( r1 = r ∧ i ≤ i0 ∧ i0 < i + n→i(# bytes) ∨ r1 -- i0 ' ∈ addobj(r0, class, fis, st) ↔ r1 -- i0 ' ∈ addobj(r0, class, fis, putByteArray(bytes, r, i, st))) ∧ (putByteArray(bytes, r, i, addobj(r0, class, fis, st))[r1 -- i0 ']) = (addobj(r0, class, fis, putByteArray(bytes, r, i, st))[r1 -- i0 '])
Proof step 44:
r ≠ r1 ⊦ r = r0, ( r1 = r ∧ i ≤ i0 ∧ i0 < i + n→i(# bytes) ∨ r1 -- i0 ' ∈ addobj(r0, class, fis, st) ↔ r1 -- i0 ' ∈ addobj(r0, class, fis, putByteArray(bytes, r, i, st))) ∧ (addobj(r0, class, fis, st)[r1 -- i0 ']) = (addobj(r0, class, fis, putByteArray(bytes, r, i, st))[r1 -- i0 '])

Rule argument

[speclemmaarg: ,r ≠ r0 → (putByteArray(bytes, r, j, st)[r0 -- sk]) = st[r0 -- sk] ,[sk, r0, st, j, r, bytes] → [i0 ', r1, addobj(r0, class, fis, st), i, r, bytes] ,F ,storearrays , ,putbar-atref-01 ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i0 ', r1, addobj(r0, class, fis, st), i, r, bytes)]]