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Proof step 120 from proof addarray-disjoint-nosharing-01 (previous step)

vals[i→n(i)] = refval(r1), vals[i→n(i0)] = refval(r2), st[r2 -- sks] = refval(r0), st[r1 -- sks1] = refval(r0), validreflist(str, mkjavavalues(vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), r2 -- sks ∈ st, st ⊆ addarray(r, ty, vals, st), is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]), 0 ≤ i0, fits(r2, sks, st), fits(r1, sks1, st), 0 ≤ i, i0 < n→i(# vals), validreflist(str, vals, ty, st), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), r1 -- sks1 ∈ st ⊦ r1 = r2, i = i0, i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, junkref(str, r1, st), dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st), junkref(str, r2, st), r1 ≠ jvmref ∧ (∃ m. vals[m] = refval(r1) ∧ ¬ # vals ≤ m)

User applied rule cut formula

And obtained the following new goals

Proof step 117:
r1 ≠ jvmref, vals[i→n(i)] = refval(r1), vals[i→n(i0)] = refval(r2), st[r2 -- sks] = refval(r0), st[r1 -- sks1] = refval(r0), validreflist(str, mkjavavalues(vals .nonnullrefs), mkclasstype(`java.lang.Object' .class), st), r2 -- sks ∈ st, st ⊆ addarray(r, ty, vals, st), is_referencevalue(addarray(r, ty, vals, st)[r -- (i0 ' ' + sks)]), 0 ≤ i0, fits(r2, sks, st), fits(r1, sks1, st), 0 ≤ i, i0 < n→i(# vals), validreflist(str, vals, ty, st), newref(r, st), i < n→i(# vals), is_referencevalue(addarray(r, ty, vals, st)[r -- (i ' ' + sks1)]), r1 -- sks1 ∈ st ⊦ r1 = r2, i = i0, i0 ' ' + sks = i ' ' + sks1, r = jvmref, vals = [], r0 = jvmref, junkref(str, r1, st), dups(vals .nonnullrefs), hasSharing(vals .nonnullrefs, st), junkref(str, r2, st), r1 ≠ jvmref ∧ (∃ m. vals[m] = refval(r1) ∧ ¬ # vals ≤ m)
Proof step 118:
⊦ ¬ junkref(str, r, st) ∧ fits(r, sks, st) ∧ r ≠ jvmref → r -- sks ∈ st
Proof step 119:
⊦ fits(jvmref, sks, st) ↔ sks = []

Rule argument

[fma-arg: r1 ≠ jvmref]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDSEQ : junkrefs, , junkref-null, ⊦ ¬ junkref(str, jvmref, st)], [CSIMPNAMEDSEQ : storefuns, , lookup-empty, ⊦ st[r -- []] = refval(r)], [CSIMPNAMEDSEQ : javavalue, , inj-03, ⊦ refval(r) = refval(r0) ↔ r = r0])], [EXTRAFMAS : (r1 ≠ jvmref)]]