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Proof step 13 from proof junkrefs-put-badclassfield (previous step)

¬ (is_obj(str, r, st[r0 -- fs ', val]) ∧ (st[r0 -- fs ', val][r -- _type]) .type ≤ ty), is_obj(str, r, st), st[r0 -- _type] .type = mkclasstype(class), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st), fs ' ∈ instfields(class)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 12:
st[r0 -- _type] .type = mkclasstype(class), is_obj(str, r, st), junkrefs(str, r ' + acc, ty, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, ∀ str, ty, st, fs, r0, val. ¬ junkrefs(str, acc, ty, st) ∧ fs ' ≠ _type ∧ is_classtype(st[r0 -- _type] .type) ∧ ¬ fs ' ∈ instfields(st[r0 -- _type] .type .class) → ¬ junkrefs(str, acc, ty, st[r0 -- fs ', val]) ⊦ fs ' = _type, r = jvmref, junkrefs(str, r ' + acc, ty, st), fs ' ∈ instfields(class), is_obj(str, r, st[r0 -- fs ', val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]