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Proof step 33 from proof validrefs-trans-01 (previous step)

acc = r0 + refs0, r0 = st[r -- i '] .refval, st[r -- _type] .type ≤ ty, validrefs(str, acc .last ' + refs1, ty0, st), is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, acc, st[r -- _type] .type .type, st), 0 ≤ i, 0 < st[r -- _length] .intval, ∀ str0, ty1, st0, refs, ty2. validrefs(str0, acc, ty1, st0) ∧ validrefs(str0, acc .last ' + refs, ty2, st0) → validrefs(str0, acc + refs, ty1, st0) ⊦ acc = [], r = jvmref, validrefs(str, (r ' + acc) + refs1, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 32:
0 ≤ i, 0 < st[r -- _length] .intval, st[r -- _type] .type ≤ ty, validrefs(str, (st[r -- i '] .refval ' + refs0) .last ' + refs1, ty0, st), is_array(str, r, st), i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs0, st[r -- _type] .type .type, st), ∀ str0, ty1, st0, refs, ty2. validrefs(str0, st[r -- i '] .refval ' + refs0, ty1, st0) ∧ validrefs(str0, (st[r -- i '] .refval ' + refs0) .last ' + refs, ty2, st0) → validrefs(str0, (st[r -- i '] .refval ' + refs0) + refs, ty1, st0) ⊦ r = jvmref, validrefs(str, r ' + (st[r -- i '] .refval ' + refs0) + refs1, ty, st)

Rule argument

[emptyarg]

Additional information

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