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Proof step 30 from proof hasSharing-put-shortval (previous step)

is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ⊦ r = jvmref, (∀ sks, sks0. ¬ fits(r0, sks, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ fits(r0, sks0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) .refval = jvmref ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) ≠ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks0])) ↔ (∀ sks, sks0. ¬ fits(r0, sks, st) ∨ ¬ fits(r0, sks0, st) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ st[r0 -- sks] .refval = jvmref ∨ st[r0 -- sks] ≠ st[r0 -- sks0]), junkref(str, r0, st)

User applied rule case distinction

And obtained the following new goals

Proof step 13:
∀ sks, sks0. ¬ fits(r0, sks, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ fits(r0, sks0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) .refval = jvmref ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) ≠ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks0]), is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ⊦ ∀ sks, sks0. ¬ fits(r0, sks, st) ∨ ¬ fits(r0, sks0, st) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ st[r0 -- sks] .refval = jvmref ∨ st[r0 -- sks] ≠ st[r0 -- sks0], r = jvmref, junkref(str, r0, st)
Proof step 29:
∀ sks, sks0. ¬ fits(r0, sks, st) ∨ ¬ fits(r0, sks0, st) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ st[r0 -- sks] .refval = jvmref ∨ st[r0 -- sks] ≠ st[r0 -- sks0], is_shortvalue(st[r -- mkfs(class, short_type, fieldvar) ']) ⊦ ∀ sks, sks0. ¬ fits(r0, sks, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ ¬ fits(r0, sks0, st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)]) ∨ sks = sks0 ∨ sks = [] ∨ sks0 = [] ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) .refval = jvmref ∨ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks]) ≠ (st[r -- mkfs(class, short_type, fieldvar) ', shortval(sho)][r0 -- sks0]), r = jvmref, junkref(str, r0, st)

Rule argument

[CASEDARG : pos: right 2, ()]

Additional information

[[CONCRETESIMPRULES : ()]]