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Proof step 33 from proof putAr-lastrec (previous step)

⊦ putArray(vals + val ', r, i, st) = (putArray(vals, r, i, st)[r -- (i + n→i(# vals)) ', val])

User applied rule structural induction

And obtained the following new goals

Proof step 10:
⊦ putArray([] + val ', r, i, st) = (putArray([], r, i, st)[r -- (i + n→i(# [])) ', val])
Proof step 32:
∀ val, r, i, st. putArray(vals0 + val ', r, i, st) = (putArray(vals0, r, i, st)[r -- (i + n→i(# vals0)) ', val]) ⊦ putArray((val0 + vals0) + val ', r, i, st) = (putArray(val0 + vals0, r, i, st)[r -- (i + n→i(# (val0 + vals0))) ', val])

Rule argument

[VARWITHVARSEQSARG : vals, ()]

Additional information

[[CONCRETESIMPRULES : ([CSIMPGEN : javavalues generated by [], +;])]]