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Proof step 13 from proof addarray-disjoint-nosharing (previous step)

¬ i→n(i0) < # refs, (addarray(r, ty, mkjavavalues(refs), st)[r -- (i ' ' + sks1)]) = refval(r0), (addarray(r, ty, mkjavavalues(refs), st)[r -- (i0 ' ' + sks)]) = refval(r0), (mkjavavalues(refs)[i→n(i0)]) = refval(r2), i0 < n→i(# refs), i < n→i(# refs), 0 ≤ i, newref(r, st), validreflist(str, mkjavavalues(refs), ty, st), disjoint(str, refs, st), fits(refs[i→n(i)], sks1, addarray(r, ty, mkjavavalues(refs), st)), fits(r2, sks, addarray(r, ty, mkjavavalues(refs), st)), 0 ≤ i0, i→n(i) < # refs ⊦ r0 = jvmref, refs = [], r = jvmref, i0 ' ' + sks = i ' ' + sks1, hasSharing(refs, st), dups(refs)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
(mkjavavalues(refs)[i→n(i0)]) = refval(r2), (addarray(r, ty, mkjavavalues(refs), st)[r -- (i0 ' ' + sks)]) = refval(r0), (addarray(r, ty, mkjavavalues(refs), st)[r -- (i ' ' + sks1)]) = refval(r0), # refs ≤ i→n(i0), i→n(i) < # refs, 0 ≤ i0, fits(r2, sks, addarray(r, ty, mkjavavalues(refs), st)), fits(refs[i→n(i)], sks1, addarray(r, ty, mkjavavalues(refs), st)), disjoint(str, refs, st), validreflist(str, mkjavavalues(refs), ty, st), newref(r, st), 0 ≤ i, i0 < n→i(# refs), i < i0, i < n→i(# refs), 0 < i0 ⊦ i0 ' ' + sks = i ' ' + sks1, r = jvmref, refs = [], r0 = jvmref, # refs = 1, dups(refs), hasSharing(refs, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ 1 < m ↔ ¬ (m = 0 ∨ m = 1)], [CSIMPSEQ : ⊦ # refs = 0 ↔ refs = []], [CSIMPSEQ : ⊦ 0 < n ↔ n ≠ 0], [CSIMPSEQ : 0 ≤ i ⊦ ((* i)) < n→i(n) ↔ i→n(i) < n], [CSIMPFORWARD : ⊦ i < j ∧ 0 < i → 0 < j ∧ 1 < j], [CSIMPFORWARD : ⊦ i < i0 ∧ i0 < i1 → i < i1], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ 0 ≤ i → abs(i) = i], [CSIMPSEQ : ⊦ i→n(i) < i→n(j) ↔ abs(i) < abs(j)], [CSIMPFORWARD : ⊦ m < n ∧ n ≤ n0 → m < n0], [CSIMPSEQ : ⊦ ¬ m < n ↔ n ≤ m])]]