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Proof step 10 from proof maxpath-object (previous step)

st[r -- _type] = typeval(mkclasstype(class0)), maxpath(str, r, st) = 1, st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), r ∈ st, is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), validrefs(str, r ', mkclasstype(class0), st), 1 ≤ maxpath(str, r0, st), r ≠ jvmref ∧ (r -- _type) × typeval(mkclasstype(class0)) ∈ st ∧ goodfieldsandtypes(r, instfields(class0), st), r -- _type ∈ st ⊦ r = jvmref, maxpath(str, r0, st) = 0, # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, is_reftype(ty), cyclic(str, r, st), junkref(str, r, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
st[r -- _type] = typeval(mkclasstype(class0)), maxpath(str, r, st) = 1, st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), r ∈ st, is_obj(str, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(class0), validrefs(str, r ', mkclasstype(class0), st), 1 ≤ maxpath(str, r0, st), goodfieldsandtypes(r, instfields(class0), st), r -- _type ∈ st ⊦ maxpath(str, r0, st) = 0, # validrefset(str, r, st) = 0, validrefset(str, r, st) = ∅, r = jvmref, is_reftype(ty), cyclic(str, r, st), junkref(str, r, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ rk × val ∈ st ↔ rk ∈ st ∧ st[rk] = val])]]