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Proof step 39 from proof add-putbar-rew (previous step)

⊦ r = r1, (addobj(r1, class, fis, st)[r1 -- i0 ']) = (addobj(r1, class, fis, putByteArray(bytes, r, i, st))[r1 -- i0 '])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 33:
⊦ sk ∈ fis → (addobj(r, class, fis, st)[r -- sk]) = fis[sk]
Proof step 37:
¬ i0 ' ∈ fis ⊦ r = r1, (addobj(r1, class, fis, st)[r1 -- i0 ']) = (addobj(r1, class, fis, putByteArray(bytes, r, i, st))[r1 -- i0 '])
Proof step 38:
⊦ sk ∈ fis → (addobj(r, class, fis, st)[r -- sk]) = fis[sk]

Rule argument

[crewrite-arg: add-in-09 , F , [sk, st, fis, class, r] → [i0 ', st, fis, class, r1] ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (i0 ', st, fis, class, r1)]]