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Proof step 27 from proof ex-fits-validrefs-stronger (previous step)

sk = i ', st[r -- sk] = refval(r0), is_array(str, r, st), junkref(str, r0, st), fits(r0, sks0, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk), i < st[r -- _length] .intval, 0 ≤ i, 0 < st[r -- _length] .intval ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (sks ⊑ sk ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 26:
st[r -- i '] = refval(r0), is_array(str, r, st), junkref(str, r0, st), fits(r0, sks0, st), is_arraytype(st[r -- _type] .type), i < st[r -- _length] .intval, 0 < st[r -- _length] .intval, 0 ≤ i ⊦ r = jvmref, junkref(str, r, st), validrefs(str, r ' + r0 ' + refs, st[r -- _type] .type, st) ∧ # refs = # sks0 ∧ (sks ⊑ i ' ' + sks0 ∧ sks ≠ [] → st[r -- sks] .refval = (r ' + r0 ' + refs)[# sks])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPSEQ : ⊦ is_indexkey(i ')])]]