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Proof step 36 from proof add-putbar-rew (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 34:
⊦ ¬ sk ∈ fis ∧ sk ≠ _type → (addobj(r, class, fis, st)[r -- sk]) = st[r -- sk]
Proof step 35:
⊦ ¬ sk ∈ fis ∧ sk ≠ _type → (addobj(r, class, fis, st)[r -- sk]) = st[r -- sk]

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (putByteArray(bytes, r, j, st) [r0 -- sk ] ) = st[r0 -- sk]], [CSIMPSEQ : ⊦ _type ≠ i '])], [EXTRATERMS : (i0 ', st, fis, class, r1)]]