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Proof step 52 from proof fits-put-03 (previous step)

fits(r, sk ' + sks0, st), is_bytevalue(st[r1 -- fs ']), ∀ st, r1, fs, r, by, str. is_bytevalue(st[r1 -- fs ']) ∧ fits(r, sks0, st) → (st[r1 -- fs ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ sks0 = [], (st[r1 -- fs ', byteval(by)][(st[r1 -- fs ', byteval(by)][r -- sk]) .refval -- sks0]) = st[r -- (sk ' + sks0)], junkref(str, r, st)

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 13:
r -- sk = r1 -- fs ', fits(r, sk ' + sks0, st), is_bytevalue(st[r1 -- fs ']), ∀ st, r1, fs, r, by, str. is_bytevalue(st[r1 -- fs ']) ∧ fits(r, sks0, st) → (st[r1 -- fs ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ sks0 = [], (st[r1 -- fs ', byteval(by)][(st[r1 -- fs ', byteval(by)][r -- sk]) .refval -- sks0]) = st[r -- (sk ' + sks0)], junkref(str, r, st)
Proof step 51:
fits(r, sk ' + sks0, st), is_bytevalue(st[r1 -- fs ']), ∀ st, r1, fs, r, by, str. is_bytevalue(st[r1 -- fs ']) ∧ fits(r, sks0, st) → (st[r1 -- fs ', byteval(by)][r -- sks0]) = st[r -- sks0] ∨ junkref(str, r, st) ⊦ r -- sk = r1 -- fs ', sks0 = [], (st[r1 -- fs ', byteval(by)][(st[r1 -- fs ', byteval(by)][r -- sk]) .refval -- sks0]) = st[r -- (sk ' + sks0)], junkref(str, r, st)

Rule argument

[fma-arg: r -- sk = r1 -- fs ']

Additional information

[[CONCRETESIMPRULES : ()], [EXTRAFMAS : (r -- sk = r1 -- fs ')]]