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Proof step 16 from proof junkref-addobj-01 (previous step)

fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), is_obj(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), ∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ oktype(val, sk .fs .type, st) ∧ ( is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ sk .fs .type), class+∃(str, class), newref(r, st) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), st[r0 -- _type] .type ≤ ty

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 15:
fis .keys = instfields(class), fis[mkfs(class0, ty, fieldvar) '] = refval(r0), is_obj(str, r0, st), mkfs(class0, ty, fieldvar) ' ∈ fis, junkrefs(str, r0 ' + refs, ty, addobj(r, class, fis, st)), mkfs(class0, ty, fieldvar) ' ∈ instfields(class), class+∃(str, class), newref(r, st), ∀ sk, val. sk × val ∈ fis → is_fskey(sk) ∧ okval(val, sk .fs .type) ∧ ( is_referencevalue(val) → val .refval = jvmref ∨ val .refval -- _type ∈ st ∧ is_typevalue(st[val .refval -- _type]) ∧ st[val .refval -- _type] .type ≤ sk .fs .type) ⊦ r = jvmref, r0 = jvmref, is_abstract(class), junkrefs(str, r0 ' + refs, st[r0 -- _type] .type, st), st[r0 -- _type] .type ≤ ty

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ oktype(val, ty, st) ↔ okval(val, ty)], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]