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Proof step 28 from proof validrefs-junkrefs-append (previous step)

refs0 = r0 + refs2, r0 = st[r -- i '] .refval, is_array(str, r, st), junkrefs(str, refs0 .last ' + refs1, st[refs0 .last -- _type] .type, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, refs0, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str0, ty0, st0, refs. validrefs(str0, refs0, ty0, st0) ∧ junkrefs(str0, refs0 .last ' + refs, st0[refs0 .last -- _type] .type, st0) → junkrefs(str0, refs0 + refs, ty0, st0) ⊦ refs0 = [], r = jvmref, junkrefs(str, (r ' + refs0) + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
0 ≤ i, 0 < st[r -- _length] .intval, is_array(str, r, st), junkrefs(str, (st[r -- i '] .refval ' + refs2) .last ' + refs1, st[(st[r -- i '] .refval ' + refs2) .last -- _type] .type, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs2, st[r -- _type] .type .type, st), ∀ str0, ty0, st0, refs. validrefs(str0, st[r -- i '] .refval ' + refs2, ty0, st0) ∧ junkrefs(str0, (st[r -- i '] .refval ' + refs2) .last ' + refs, st0[(st[r -- i '] .refval ' + refs2) .last -- _type] .type, st0) → junkrefs(str0, (st[r -- i '] .refval ' + refs2) + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r ' + (st[r -- i '] .refval ' + refs2) + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' + refs ≠ []], [CSIMPSEQ : ⊦ r + refs = r ' + refs])]]