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Proof step 31 from proof putBar-rew (previous step)

j < i ∨ i + n→i(# bytes) ≤ j ⊦ (putByteArray(bytes, r, i, st)[r -- j ', val]) = putByteArray(bytes, r, i, st[r -- j ', val])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 1:
⊦ st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk])
Proof step 30:
j < i ∨ i + n→i(# bytes) ≤ j ⊦ ∀ rk. (rk ∈ (putByteArray(bytes, r, i, st)[r -- j ', val]) ↔ rk ∈ putByteArray(bytes, r, i, st[r -- j ', val])) ∧ (putByteArray(bytes, r, i, st)[r -- j ', val][rk]) = (putByteArray(bytes, r, i, st[r -- j ', val])[rk])

Rule argument

[speclemmaarg: ,st1 = st2 ↔ (∀ rk. (rk ∈ st1 ↔ rk ∈ st2) ∧ st1[rk] = st2[rk]) ,[st2, st1] → [putByteArray(bytes, r, i, st[r -- j ', val]), putByteArray(bytes, r, i, st)[r -- j ', val]] ,F ,store ,javastore ,Extension ]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (putByteArray(bytes, r, i, st[r -- j ', val]), putByteArray(bytes, r, i, st)[r -- j ', val])]]