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Proof step 15 from proof validrefs-put-last (previous step)

st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), r1 = jvmref ∨ r1 ≠ jvmref ∧ is_valid_ref(str, r1, st[r1 -- sk, val]) ∧ (st[r1 -- sk, val][r1 -- _type]) .type ≤ ty0 ⊦ sk = _type, r1 = r, r = jvmref, junkref(str, r, st), validrefs(str, r1 ', ty0, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ validrefs(str, jvmref ', ty, st)
Proof step 14:
st[r -- mkfs(class, ty0, fieldvar) '] = refval(r1), is_obj(str, r, st), st[r -- _type] .type ≤ ty, mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_valid_ref(str, r1, st[r1 -- sk, val]), st[r1 -- _type] .type ≤ ty0 ⊦ sk = _type, r1 = r, r = jvmref, r1 = jvmref, junkref(str, r, st), validrefs(str, r1 ', ty0, st)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ sk ≠ sk0 → (st[r -- sk, val][r0 -- sk0]) = st[r0 -- sk0]])]]