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Proof step 52 from proof junkrefs-put-nopathexplus-equiv (previous step)

junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r1, r0, st), st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r -- _type] .type ≤ ty, is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + refs1, ty0, st), ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (r1 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 51:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r -- _type] .type ≤ ty, is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r1 ' + refs1, ty0, st), path∃+(str, r1, r0, st), ∀ val, sk, r0, st0, ty, r2, str, refs. # refs < # (r1 + refs1) → (junkrefs(str, r2 ' + refs, ty, st0) → junkrefs(str, r2 ' + refs, ty, st0[r0 -- sk, val]) ∨ sk = _type ∨ path∃+(str, r2, r0, st0)) ⊦ sk = _type, r = jvmref, r = r0, path∃+(str, r, r0, st), junkrefs(str, r1 ' + refs1, ty0, st[r0 -- sk, val])

Rule argument

[emptyarg]

Additional information

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