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Proof step 4 from proof shift-1init-01 (previous step)

∀ r, r0, j, st, sk, val. r = r0 ∨ (addarray(r, vals0, j, st)[r0 -- sk, val]) = addarray(r, vals0, j, st[r0 -- sk, val]) ⊦ r = r0, (addarray(r, vals0, j + 1, st)[r0 -- sk, val][r -- j ', val0]) = (addarray(r, vals0, j + 1, st[r0 -- sk, val])[r -- j ', val0])

User applied rule all left

And closed the goal!

Rule argument

[EXRARG : pos: left 1, [extquanttermlist: (r, r0, j + 1, st, sk, val) abort:F , discard:T , computed:F ]]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ i + j = j + i])], [EXTRATERMS : (r, r0, j + 1, st, sk, val)]]