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Proof step 8 from proof init-switch (previous step)

is_fskey(sk), ∀ sk0, r1, i0, st0, r2, val1. ¬ is_indexkey(sk0) → addarray(r1, vals0, i0, st0[r2 -- sk0, val1]) = (addarray(r1, vals0, i0, st0)[r2 -- sk0, val1]) ⊦ sk = i ', (addarray(r, vals0, i + 1, st[r -- sk, val0])[r -- i ', val]) = (addarray(r, vals0, i + 1, st)[r -- sk, val0][r -- i ', val])

User applied rule all left

And obtained the following new goals

Proof step 7:
is_fskey(sk), ¬ is_indexkey(sk) → addarray(r, vals0, i + 1, st[r -- sk, val0]) = (addarray(r, vals0, i + 1, st)[r -- sk, val0]) ⊦ sk = i ', (addarray(r, vals0, i + 1, st[r -- sk, val0])[r -- i ', val]) = (addarray(r, vals0, i + 1, st)[r -- sk, val0][r -- i ', val])

Rule argument

[EXRARG : pos: left 2, [extquanttermlist: (sk, r, i + 1, st, r, val0) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (sk, r, i + 1, st, r, val0)]]