| (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_reftype(ty0), junkrefs(str, r2 ' + refs, ty2, st[r -- mkfs(class, ty0, fieldvar) ', refval(jvmref)]), ∀ str0, ty1, st0, fs0, r1. ¬ junkrefs(str0, r2 ' + refs, ty1, st0) ∧ is_reftype(fs0 .type) → ¬ junkrefs(str0, r2 ' + refs, ty1, st0[r1 -- fs0 ', refval(jvmref)]) ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st) |
(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)]), is_reftype(ty0), 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, fs0, r1. ¬ junkrefs(str0, r2 ' + refs, ty1, st0) ∧ is_reftype(fs0 .type) → ¬ junkrefs(str0, r2 ' + refs, ty1, st0[r1 -- fs0 ', refval(jvmref)]) ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st)
[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ is_referencevalue(refval(r))], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])]]