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Proof step 29 from proof junkrefs-put-badfield (previous step)

fs0 = mkfs(class, ty1, fieldvar), is_referencevalue(st[r0 -- fs ', val][r -- fs0 ']), fs0 ' ∈ instfields((st[r0 -- fs ', val][r -- _type]) .type .class), is_obj(str, r, st), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, junkrefs(str, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty1, st[r0 -- fs ', val]), ∀ str0, ty0, st0, r1, fs1, val0. junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0[r1 -- fs1 ', val0]) → junkrefs(str0, (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type) ⊦ r = jvmref, junkrefs(str, r ' + (st[r0 -- fs ', val][r -- fs0 ']) .refval ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 28:
is_referencevalue(st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']), mkfs(class, ty1, fieldvar) ' ∈ instfields((st[r0 -- fs ', val][r -- _type]) .type .class), is_obj(str, r, st), (st[r0 -- fs ', val][r -- _type]) .type ≤ ty, is_obj(str, r, st[r0 -- fs ', val]), st[r -- _type] .type ≤ ty, junkrefs(str, (st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty1, st[r0 -- fs ', val]), ∀ str0, ty0, st0, r1, fs1, val0. junkrefs(str0, (st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty0, st0[r1 -- fs1 ', val0]) → junkrefs(str0, (st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty0, st0) ∨ is_typevalue(st0[r1 -- _type]) ∧ is_reftype(st0[r1 -- _type] .type) ⊦ r = jvmref, junkrefs(str, r ' + (st[r0 -- fs ', val][r -- mkfs(class, ty1, fieldvar) ']) .refval ' + refs, ty, st), is_typevalue(st[r0 -- _type]) ∧ is_reftype(st[r0 -- _type] .type)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]