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Proof step 8 from proof hasSharing-put-statfield (previous step)

st[jvmref -- sks] = refval(r0), st[jvmref -- (sk0 ' + sks1)] = refval(r0), fits(jvmref, sks, st), fits(jvmref, sk0 ' + sks1, st), ∀ st, sks, r0, sk, val. st[jvmref -- sks] = refval(r0) ∧ st[jvmref -- sks1] = refval(r0) ∧ fits(jvmref, sks1, st) ∧ fits(jvmref, sks, st) ∧ ((st[jvmref -- sk, val][jvmref -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][jvmref -- sks]) ≠ (st[jvmref -- sk, val][jvmref -- sks1])) → sks1 = sks ∨ sks1 = [] ∨ sks = [] ∨ r0 = jvmref, (st[jvmref -- sk, val][jvmref -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][jvmref -- sks]) ≠ (st[jvmref -- sk, val][jvmref -- (sk0 ' + sks1)]) ⊦ sks = [], r0 = jvmref, sk0 ' + sks1 = sks

User applied rule insert equation

And obtained the following new goals

Proof step 7:
st[jvmref -- sks] = refval(r0), fits(jvmref, sks, st), fits(jvmref, sk0 ' + sks1, st), ∀ st, sks, r0, sk, val. st[jvmref -- sks] = refval(r0) ∧ st[jvmref -- sks1] = refval(r0) ∧ fits(jvmref, sks1, st) ∧ fits(jvmref, sks, st) ∧ ((st[jvmref -- sk, val][jvmref -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][jvmref -- sks]) ≠ (st[jvmref -- sk, val][jvmref -- sks1])) → sks1 = sks ∨ sks1 = [] ∨ sks = [] ∨ r0 = jvmref, (st[jvmref -- sk, val][jvmref -- sks]) .refval = jvmref ∨ (st[jvmref -- sk, val][jvmref -- sks]) ≠ (st[jvmref -- sk, val][jvmref -- (sk0 ' + sks1)]) ⊦ sks = [], r0 = jvmref, sk0 ' + sks1 = sks

Rule argument

[inserteqarg: pos: left 2,F,T,()]

Additional information

[[CONCRETESIMPRULES : ()]]