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Proof step 54 from proof hasSharing-put-byteval-01 (previous step)

(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks0]) = refval(r1), (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks]) = refval(r1), fits(r0, sks, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), fits(r0, sks0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st), fits(r0, sks, st) ∧ fits(r0, sks0, st) ∧ st[r0 -- sks] .refval ≠ jvmref ∧ st[r0 -- sks] = st[r0 -- sks0]

User applied rule case distinction

And obtained the following new goals

Proof step 28:
(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks0]) = refval(r1), (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks]) = refval(r1), fits(r0, sks, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), fits(r0, sks0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ fits(r0, sks, st), sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st)
Proof step 30:
(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks0]) = refval(r1), (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks]) = refval(r1), fits(r0, sks, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), fits(r0, sks0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ fits(r0, sks0, st), sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st)
Proof step 42:
(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks0]) = refval(r1), (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks]) = refval(r1), fits(r0, sks, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), fits(r0, sks0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ st[r0 -- sks] .refval ≠ jvmref, sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st)
Proof step 53:
(st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks0]) = refval(r1), (st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)][r0 -- sks]) = refval(r1), fits(r0, sks, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), fits(r0, sks0, st[r -- mkfs(class, byte_type, fieldvar) ', byteval(by)]), is_bytevalue(st[r -- mkfs(class, byte_type, fieldvar) ']) ⊦ st[r0 -- sks] = st[r0 -- sks0], sks0 = sks, sks0 = [], sks = [], r1 = jvmref, mkfs(class, byte_type, fieldvar) ' = _length, r = jvmref, junkref(str, r0, st)

Rule argument

[CASEDARG : pos: right 8, ()]

Additional information

[[CONCRETESIMPRULES : ()]]