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Proof step 40 from proof junkrefs-put-badarrayfield (previous step)

¬ (r ≠ jvmref ∧ (¬ is_valid_ref(str, r, st) ∨ ¬ st[r -- _type] .type ≤ ty)), is_arraytype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, junkrefs(str, r ' + acc, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 3:
⊦ ¬ junkrefs(str, jvmref ' + refs, ty, st)
Proof step 39:
is_arraytype(st[r0 -- _type] .type), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), is_valid_ref(str, r, st), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_arraytype(st[r0 -- _type] .type) ∧ fs ' ≠ _length → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _length, fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]