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Proof step 42 from proof pathex-put-nopathex (previous step)

(st[r0 -- sk, val][r -- mkfs(class, ty, fieldvar) ']) = refval(r1), is_obj(str, r, st[r0 -- sk, val]), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r0 -- sk, val][r -- mkfs(class, ty, fieldvar) ']), validrefs(str, r1 ' + refs1, ty, st[r0 -- sk, val]), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ sk = _type, r = jvmref, junkref(str, r, st), path∃(str, r, r0, st), path∃(str, r, (r1 ' + refs1) .last, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 41:
(st[r0 -- sk, val][r -- mkfs(class, ty, fieldvar) ']) = refval(r1), validrefs(str, r1 ' + refs1, ty, st[r0 -- sk, val]), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st[r0 -- sk, val]), ∀ val0, sk0, r3, st0, r2, str, refs. # refs < # (r1 + refs1) → ( validrefs(str, r2 ' + refs, st0[r2 -- _type] .type, st0[r3 -- sk0, val0]) → sk0 = _type ∨ path∃(str, r2, r3, st0) ∨ junkref(str, r2, st0) ∨ path∃(str, r2, (r2 ' + refs) .last, st0)) ⊦ r = jvmref, sk = _type, path∃(str, r, (r1 ' + refs1) .last, st), path∃(str, r, r0, st), junkref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))])]]