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Proof step 19 from proof validrefs-lastelem (previous step)

st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), r0 ≠ jvmref ∧ r0 -- _type ∈ st ∧ is_typevalue(st[r0 -- _type]) ∧ is_classtype(st[r0 -- _type] .type) ∧ is_obj(r0, st[r0 -- _type] .type .class, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ', ty0, st) ⊦ r0 = jvmref, is_reftype(ty0)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 18:
st[r0 -- mkfs(class, ty0, fieldvar) '] = refval(r1), st[r0 -- _type] = typeval(mkclasstype(st[r0 -- _type] .type .class)), r0 -- _type ∈ st, is_typevalue(st[r0 -- _type]), is_classtype(st[r0 -- _type] .type), is_obj(r0, st[r0 -- _type] .type .class, st), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r0 -- _type] .type .class), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), validrefs(str, r1 ', ty0, st), r0 ∈ st ⊦ r0 = jvmref, is_reftype(ty0)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPFORWARD : ⊦ r -- sk ∈ st → r ∈ st], [CSIMPFORWARD : ⊦ sk ∈ instfields (st[r -- _type] .type .class) ∧ is_obj(r, class, st) → st[r -- _type] = typeval(mkclasstype(class))])]]