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Proof step 24 from proof fits-put-statfield (previous step)

is_array(str, r, st), junkref(str, r0, st), st[r -- sk0] = refval(r0), is_arraytype(st[r -- _type] .type) → is_indexkey(sk0) ∧ 0 ≤ sk0 .index ∧ sk0 .index < st[r -- _length] .intval, is_classtype(st[r -- _type] .type) → sk0 ∈ instfields(st[r -- _type] .type .class) ⊦ r = jvmref, fits(r0, sks0, st[jvmref -- sk, val]) ↔ fits(r0, sks0, st), junkref(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 23:
st[r -- sk0] = refval(r0), is_array(str, r, st), junkref(str, r0, st), is_arraytype(st[r -- _type] .type), is_indexkey(sk0), sk0 .index < st[r -- _length] .intval, 0 ≤ sk0 .index, 0 < st[r -- _length] .intval ⊦ r = jvmref, fits(r0, sks0, st[jvmref -- sk, val]) ↔ fits(r0, sks0, st), junkref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ i ≤ j ∧ 0 ≤ i → 0 ≤ j], [CSIMPFORWARD : ⊦ i < j ∧ 0 ≤ i → 0 < j], [CSIMPSEQ : ⊦ is_arraytype(ty) → ¬ is_classtype(ty)], [CSIMPSEQ : ⊦ ¬ is_arraytype (st[r -- _type] .type) → ¬ is_array(str, r, st)])]]