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Proof step 28 from proof junkrefs-put-null (previous step)

(st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- mkfs(class0, ty2, fieldvar0) ']) = refval(r2), is_referencevalue(st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- mkfs(class0, ty2, fieldvar0) ']), mkfs(class0, ty2, fieldvar0) ' ∈ instfields((st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- _type]) .type .class), is_obj(str, r0, st), (st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- _type]) .type ≤ ty, is_obj(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), st[r0 -- _type] .type ≤ ty, is_obj(r, st), is_reftype(ty0), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), junkrefs(str, r2 ' + refs, ty2, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), ∀ str0, ty1, st0, r1, fs0. ¬ junkrefs(str0, r2 ' + refs, ty1, st0) ∧ is_obj(r1, st0) ∧ is_reftype(fs0 .type) ∧ fs0 ' ∈ instfields(st0[r1 -- _type] .type .class) → ¬ junkrefs(str0, r2 ' + refs, ty1, st0[r1 -- fs0 ', refval(jvmref)]) ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st)

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 27:
(st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- mkfs(class0, ty2, fieldvar0) ']) = refval(r2), junkrefs(str, r2 ' + refs, ty2, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), mkfs(class, ty0, fieldvar) ' ∈ instfields(st[r -- _type] .type .class), is_reftype(ty0), is_obj(r, st), st[r0 -- _type] .type ≤ ty, is_obj(str, r0, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), (st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- _type]) .type ≤ ty, is_obj(str, r0, st), mkfs(class0, ty2, fieldvar0) ' ∈ instfields((st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r0 -- _type]) .type .class), ∀ str0, ty1, st0, r1, fs0. ¬ junkrefs(str0, r2 ' + refs, ty1, st0) ∧ is_obj(r1, st0) ∧ is_reftype(fs0 .type) ∧ fs0 ' ∈ instfields(st0[r1 -- _type] .type .class) → ¬ junkrefs(str0, r2 ' + refs, ty1, st0[r1 -- fs0 ', refval(jvmref)]) ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st)

Rule argument

[emptyarg]

Additional information

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