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Proof step 45 from proof junkref-addarray-01 (previous step)

vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, class), newref(r, st), is_array(str, r, addarray(r, mkclasstype(class), vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, mkclasstype(class), addarray(r, mkclasstype(class), vals, st)), st[r0 -- _type] .type ≤ mkclasstype(class) ⊦ r = jvmref, vals = [], r0 = jvmref, r0 + refs ≠ [] ∧ (r0 + refs) .first = r0 ∧ junkrefs(str, r0 + refs, st[(r0 + refs) .first -- _type] .type, st), ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 44:
vals[i→n(i)] = refval(r0), i < n→i(# vals), class∃(str, class), newref(r, st), is_array(str, r, addarray(r, mkclasstype(class), vals, st)), 0 ≤ i, junkrefs(str, r0 ' + refs, mkclasstype(class), addarray(r, mkclasstype(class), vals, st)), st[r0 -- _type] .type ≤ mkclasstype(class) ⊦ r = jvmref, vals = [], r0 = jvmref, junkrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), ∃ refs0. refs0 ≠ [] ∧ refs0 .first = r0 ∧ junkrefs(str, refs0, st[refs0 .first -- _type] .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]