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Proof step 23 from proof fits-no-refval (previous step)

is_array(str, r, st), st[r -- sk0] = refval(r0), junkref(str, r0, st), sks1 ⊑ sks, fits(r0, sks + sk ', st), is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class), is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval, ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, junkref(str, r, st), is_referencevalue(st[r -- (sk0 ' + sks1)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 22:
st[r -- sk0] = refval(r0), is_array(str, r, st), junkref(str, r0, st), sks1 ⊑ sks, fits(r0, sks + sk ', st), is_arraytype(st[r -- _type] .type), is_indexkey(sk0), sk0 .index < st[r -- _length] .intval, 0 ≤ sk0 .index, 0 < st[r -- _length] .intval, ∀ sks0, r, sk, st, str. sks0 ⊑ sks ∧ fits(r, sks + sk ', st) → is_referencevalue(st[r -- sks0]) ∨ junkref(str, r, st) ⊦ r = jvmref, junkref(str, r, st), is_referencevalue(st[r -- (sk0 ' + sks1)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPNAMEDFORWARD : int-abs, , forward-le-01, ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPNAMEDFORWARD : int-abs, , forward-le-05, ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPNAMEDSEQ : javatype, , diff-01, ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPNAMEDSEQ : okfuns, , is_array-arraytype, ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(str, r, st)], [CSIMPNAMEDSEQ : okfuns, , is_array-classtype, ⊦ is_classtype (st[r -- _type] .type) → ¬ is_array(str, r, st)])]]