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Proof step 32 from proof junkrefs-union (previous step)

fs = mkfs(class, ty1, fieldvar), is_obj(str, r, st), (st0 ∪ st)[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, fs ' ∈ instfields((st0 ∪ st)[r -- _type] .type .class), is_referencevalue((st0 ∪ st)[r -- fs ']), junkrefs(str, (st0 ∪ st)[r -- fs '] .refval ' + refs, ty1, st0 ∪ st), ∀ str0, ty0, st1, st2. junkrefs(str0, (st0 ∪ st)[r -- fs '] .refval ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, (st0 ∪ st)[r -- fs '] .refval ' + refs, ty0, st2) ⊦ r = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs0 ']) ∧ (st0 ∪ st)[r -- fs '] .refval = st[r -- fs0 '] .refval ∧ junkrefs(str, (st0 ∪ st)[r -- fs '] .refval ' + refs, fs0 .type, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 31:
is_obj(str, r, st), (st0 ∪ st)[r -- _type] .type ≤ ty, st[r -- _type] .type ≤ ty, mkfs(class, ty1, fieldvar) ' ∈ instfields((st0 ∪ st)[r -- _type] .type .class), is_referencevalue((st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st0 ∪ st), ∀ str0, ty0, st1, st2. junkrefs(str0, (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st1 ∪ st2) → junkrefs(str0, (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st2) ⊦ r = jvmref, ∃ fs0. fs0 ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs0 ']) ∧ (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] .refval = st[r -- fs0 '] .refval ∧ junkrefs(str, (st0 ∪ st)[r -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, fs0 .type, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]