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Proof step 10 from proof pathex-put-cyclic (previous step)

st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)]), is_valid_ref(str, r, st), mkfs(class, mkclasstype(class1), fieldvar) ' ∈ instfields(class0), class0 ≤ class1 ⊦ r = jvmref, mkfs(class, mkclasstype(class1), fieldvar) ' ∈ instfields(class0) ∧ is_referencevalue(st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)][r -- mkfs(class, mkclasstype(class1), fieldvar) ']) ∧ r = (st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)][r -- mkfs(class, mkclasstype(class1), fieldvar) ']) .refval ∧ validrefs(str, r ', mkfs(class, mkclasstype(class1), fieldvar) .type, st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
st[r -- _type] .type = mkclasstype(class0), is_obj(str, r, st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)]), is_valid_ref(str, r, st), mkfs(class, mkclasstype(class1), fieldvar) ' ∈ instfields(class0), class0 ≤ class1 ⊦ r = jvmref, validrefs(str, r ', mkclasstype(class1), st[r -- mkfs(class, mkclasstype(class1), fieldvar) ', refval(r)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ mkfs(class, ty, fieldvar) .type = ty], [CSIMPSEQ : ⊦ refval(r) .refval = r], [CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (st[rk, val][rk]) = val])]]