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Proof step 22 from proof validrefs-junkrefs-01 (previous step)

is_obj(str, r, st) ∧ st[r -- _type] .type ≤ ty, acc + refs0 = r0 ' + refs, st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), st[r -- _type] .type ≤ ty, junkrefs(str, acc + refs0, ty0, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str, r, st), ∀ str, refs0, ty, st. junkrefs(str, acc + refs0, ty, st) → junkrefs(str, acc, ty, st) ∨ validrefs(str, acc, ty, st) ⊦ acc + refs0 = [], r = jvmref, validrefs(str, r ' + acc, ty, st), acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st)), ¬ r0 ∈ acc ∧ ¬ r0 ∈ refs0

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 21:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r0), acc + refs0 = r0 ' + refs, is_obj(str, r, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, acc + refs0, ty0, st), st[r -- _type] .type ≤ ty, ∀ str, refs0, ty, st. junkrefs(str, acc + refs0, ty, st) → junkrefs(str, acc, ty, st) ∨ validrefs(str, acc, ty, st) ⊦ r = jvmref, acc + refs0 = [], validrefs(str, r ' + acc, ty, st), ¬ r0 ∈ acc ∧ ¬ r0 ∈ refs0, acc ≠ [] ∧ (∃ fs. fs ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- fs ']) ∧ acc .first = st[r -- fs '] .refval ∧ junkrefs(str, acc, fs .type, st))

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ()]]