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Proof step 35 from proof fits-put-statfield (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 34:
∀ r, st, sk, val, str. (fits(r, sks0, st[jvmref -- sk, val]) ↔ fits(r, sks0, st)) ∨ junkref(str, r, st) ⊦ r ≠ jvmref ∧ is_referencevalue(st[r -- sk0]) ∧ (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) ∧ fits(st[r -- sk0] .refval, sks0, st[jvmref -- sk, val]) ↔ fits(r, sk0 ' + sks0, st), junkref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]])]]