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Proof step 42 from proof validrefs-put-badarrayfield-01 (previous step)

st[r -- _type] .type = mkarraytype(ty0) ∧ is_arraytype(st[r -- _type] .type), 0 ≤ i, 0 < st[r -- _length] .intval, junkref(str, st[r -- i '] .refval, st), is_arraytype(st[r0 -- _type] .type), is_array(str, r, st), st[r -- _type] .type ≤ ty, i < st[r -- _length] .intval, is_referencevalue(st[r -- i ']), validrefs(str, st[r -- i '] .refval ' + refs, ty0, st) ⊦ fs ' = _type, fs ' = _length, r = jvmref, junkref(str, r, st[r0 -- fs ', val]), junkref(str, r, st), dups((st[r -- i '] .refval ' + refs) .butlast), r ∈ (st[r -- i '] .refval ' + refs) .butlast, validrefs(str, st[r -- i '] .refval ' + refs, ty0, st[r0 -- fs ', val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
st[r -- _type] .type = mkarraytype(ty0), validrefs(str, st[r -- i '] .refval ' + refs, ty0, st), is_referencevalue(st[r -- i ']), i < st[r -- _length] .intval, mkarraytype(ty0) ≤ ty, is_array(str, r, st), is_arraytype(st[r0 -- _type] .type), junkref(str, st[r -- i '] .refval, st), 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = jvmref, fs ' = _length, fs ' = _type, validrefs(str, st[r -- i '] .refval ' + refs, ty0, st[r0 -- fs ', val]), r ∈ (st[r -- i '] .refval ' + refs) .butlast, dups((st[r -- i '] .refval ' + refs) .butlast), junkref(str, r, st), junkref(str, r, st[r0 -- fs ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_arraytype(mkarraytype(ty))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]