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Proof step 12 from proof junkref-subspec-samesubclasses (previous step)

is_obj(str0, r, st), st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_obj(str0, r, st), is_obj(str, r, st), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r = jvmref, r0 = jvmref, mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class) ∧ is_referencevalue(st[r -- mkfs(class, ty, fieldvar) ']) ∧ st[r -- mkfs(class, ty, fieldvar) '] .refval ≠ jvmref ∧ ( ¬ st[st[r -- mkfs(class, ty, fieldvar) '] .refval -- _type] .type ≤ mkfs(class, ty, fieldvar) .type ∨ junkref(str0, st[r -- mkfs(class, ty, fieldvar) '] .refval, st)), same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0), has_classtype(st[r0 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r -- mkfs(class, ty, fieldvar) '] = refval(r0), same-subclasses-contains(st[r -- _type] .type .jtelemtype .class, str, str0), is_obj(str, r, st), is_obj(str0, r, st), mkfs(class, ty, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r0 ' + refs1, st[r0 -- _type] .type, st), st[r0 -- _type] .type ≤ ty, ∀ str0, str, r1, st0, refs. # refs < # (r0 + refs1) → ( same-subclasses-contains(st0[r1 -- _type] .type .jtelemtype .class, str, str0) ∧ junkrefs(str, r1 ' + refs, st0[r1 -- _type] .type, st0) → junkref(str0, r1, st0)) ⊦ r0 = jvmref, r = jvmref, has_classtype(st[r0 -- _type] .type), same-subclasses-contains(st[r0 -- _type] .type .jtelemtype .class, str, str0), junkref(str0, r0, st)

Rule argument

[emptyarg]

Additional information

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