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Proof step 4 from proof update-put (previous step)

∀ r, r0, st, sk, val. r = r0 ∨ (update(r0, fis0, st)[r -- sk, val]) = update(r0, fis0, st[r -- sk, val]) ⊦ r = r0, (update(r0, fis0, st)[r -- sk, val][r0 -- sk0, val0]) = (update(r0, fis0, st[r -- sk, val])[r0 -- sk0, val0])

User applied rule all left

And closed the goal!

Rule argument

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

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (r, r0, st, sk, val)]]