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Proof step 11 from proof junkrefs-put-statfield (previous step)

is_obj(str, r, st[jvmref -- sk, val]) ∧ (st[jvmref -- sk, val][r -- _type]) .type ≤ ty, st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), junkrefs(str, r0 ' + refs, ty1, st), st[r -- _type] .type ≤ ty, is_obj(str, r, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), ∀ str0, ty0, st0, sk0, val0. junkrefs(str0, r0 ' + refs, ty0, st0) → junkrefs(str0, r0 ' + refs, ty0, st0[jvmref -- sk0, val0]) ⊦ r = jvmref, r0 ' + refs ≠ [] ∧ (∃ fs. fs ' ∈ instfields((st[jvmref -- sk, val][r -- _type]) .type .class) ∧ is_referencevalue(st[jvmref -- sk, val][r -- fs ']) ∧ (r0 ' + refs) .first = (st[jvmref -- sk, val][r -- fs ']) .refval ∧ junkrefs(str, r0 ' + refs, fs .type, st[jvmref -- sk, val]))

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 10:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r0), junkrefs(str, r0 ' + refs, ty1, st), is_obj(str, r, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st[jvmref -- sk, val]), st[r -- _type] .type ≤ ty, ∀ str0, ty0, st0, sk0, val0. junkrefs(str0, r0 ' + refs, ty0, st0) → junkrefs(str0, r0 ' + refs, ty0, st0[jvmref -- sk0, val0]) ⊦ r = jvmref, ∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ r0 = st[r -- fs '] .refval ∧ junkrefs(str, st[r -- fs '] .refval ' + refs, fs .type, st[jvmref -- sk, val])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r ' + refs) .first = r], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1], [CSIMPSEQ : ⊦ r ' ≠ []], [CSIMPSEQ : ⊦ ¬ refs + refs0 ≠ [] ↔ refs = [] ∧ refs0 = []], [CSIMPSEQ : ⊦ r ≠ r0 → (st[r0 -- sk0, val][r -- sk]) = st[r -- sk]])]]