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Proof step 12 from proof junkrefs-put-array-norefval (previous step)

st[r -- mkfs(class, ty1, fieldvar) '] = refval(r2), st[r -- _type] .type ≤ ty, is_obj(str, r, st), okval(val, st[r1 -- _type] .type .type), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_referencevalue(st[r -- mkfs(class, ty1, fieldvar) ']), junkrefs(str, r2 ' + refs, ty1, st[r1 -- i ', val]), ∀ val0, st0, r0, str0, ty0, i0. okval(val0, st0[r0 -- _type] .type .type) ∧ junkrefs(str0, r2 ' + refs, ty0, st0[r0 -- i0 ', val0]) → is_referencevalue(val0) ∨ junkrefs(str0, r2 ' + refs, ty0, st0) ⊦ r = jvmref, is_referencevalue(val), junkrefs(str, r ' + r2 ' + refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 11:
st[r -- mkfs(class, ty1, fieldvar) '] = refval(r2), junkrefs(str, r2 ' + refs, ty1, st[r1 -- i ', val]), mkfs(class, ty1, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), okval(val, st[r1 -- _type] .type .type), is_obj(str, r, st), st[r -- _type] .type ≤ ty, ∀ val0, st0, r0, str0, ty0, i0. okval(val0, st0[r0 -- _type] .type .type) ∧ junkrefs(str0, r2 ' + refs, ty0, st0[r0 -- i0 ', val0]) → is_referencevalue(val0) ∨ junkrefs(str0, r2 ' + refs, ty0, st0) ⊦ r = jvmref, junkrefs(str, r ' + r2 ' + refs, ty, st), is_referencevalue(val)

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]