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Proof step 23 from proof junkrefs-put-null-01 (previous step)

st[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 ≠ r ∨ _type ≠ mkfs(class, ty0, fieldvar) ', r0 ≠ r ∨ class0 ≠ class ∨ ty2 ≠ ty0 ∨ fieldvar0 ≠ fieldvar ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 15:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 22:
r0 -- _type ≠ r -- mkfs(class, ty0, fieldvar) ', st[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[r0 -- _type] .type ≤ ty, is_obj(str, r0, st), mkfs(class0, ty2, fieldvar0) ' ∈ instfields(st[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 ≠ r ∨ _type ≠ mkfs(class, ty0, fieldvar) ', r0 ≠ r ∨ class0 ≠ class ∨ ty2 ≠ ty0 ∨ fieldvar0 ≠ fieldvar ⊦ r0 = jvmref, junkrefs(str, r0 ' + r2 ' + refs, ty, st)

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r0 -- _type, refval(jvmref), r -- mkfs(class, ty0, fieldvar) ', st] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0], [CSIMPSEQ : ⊦ (refs + refs0) + refs1 = refs + refs0 + refs1])], [EXTRATERMS : (r0 -- _type, refval(jvmref), r -- mkfs(class, ty0, fieldvar) ', st)]]