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Proof step 16 from proof putBar-lastrec (previous step)

∀ by, r, i, st. putByteArray(bytes0 + by ', r, i, st) = (putByteArray(bytes0, r, i, st)[r -- (i + n→i(# bytes0)) ', byteval(by)]) ⊦ (putByteArray(bytes0 + by ', r, i + 1, st)[r -- i ', byteval(by0)]) = (putByteArray(bytes0, r, i + 1, st)[r -- ((1 + n→i(# bytes0)) + i) ', byteval(by)][r -- i ', byteval(by0)])

User applied rule all left

And obtained the following new goals

Proof step 15:
putByteArray(bytes0 + by ', r, i + 1, st[r -- i ', byteval(by0)]) = (putByteArray(bytes0, r, i + 1, st[r -- i ', byteval(by0)])[r -- ((i + 1) + n→i(# bytes0)) ', byteval(by)]) ⊦ (putByteArray(bytes0 + by ', r, i + 1, st)[r -- i ', byteval(by0)]) = (putByteArray(bytes0, r, i + 1, st)[r -- ((1 + n→i(# bytes0)) + i) ', byteval(by)][r -- i ', byteval(by0)])

Rule argument

[EXRARG : pos: left 1, [extquanttermlist: (by, r, i + 1, st[r -- i ', byteval(by0)]) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (by, r, i + 1, st[r -- i ', byteval(by0)])]]