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Proof step 14 from proof junkrefs-put-refval-02 (previous step)

fs = mkfs(class, ty1, fieldvar), mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), fs ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- fs ']), junkrefs(str, st[r1 -- fs '] .refval ' + refs, ty1, st[r -- i ', refval(r0)]), ∀ st0, r2, r3, str0, ty0, i0. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, st[r1 -- fs '] .refval ' + refs, ty0, st0[r3 -- i0 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, st[r1 -- fs '] .refval ' + refs, ty0, st0) ∨ junkref(str0, r2, st0) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + st[r1 -- fs '] .refval ' + refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 13:
mkarraytype(st[r0 -- _type] .type) ≤ st[r -- _type] .type, st[r1 -- _type] .type ≤ ty, is_obj(str, r1, st), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r1 -- _type] .type .class), is_referencevalue(st[r1 -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty1, st[r -- i ', refval(r0)]), ∀ st0, r2, r3, str0, ty0, i0. mkarraytype(st0[r2 -- _type] .type) ≤ st0[r3 -- _type] .type ∧ junkrefs(str0, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0[r3 -- i0 ', refval(r2)]) → r3 = jvmref ∨ r2 = jvmref ∨ junkrefs(str0, st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty0, st0) ∨ junkref(str0, r2, st0) ⊦ r1 = jvmref, r0 = jvmref, r = jvmref, junkref(str, r0, st), junkrefs(str, r1 ' + st[r1 -- mkfs(class, ty1, fieldvar) '] .refval ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

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