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Proof step 8 from proof validref-put-refval (previous step)

st[r -- _type] .type ≤ ty0, validref(str, r1, ty, st), ty ≤ ty1, is_reftype(ty1), r ≠ r0 ∨ _type ≠ mkfs(class, ty1, fieldvar) ' ⊦ r = jvmref, junkref(str, r, st), (st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)][r -- _type]) .type ≤ ty0 ∧ ¬ junkref(str, r, st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)])

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]
Proof step 7:
r -- _type ≠ r0 -- mkfs(class, ty1, fieldvar) ', st[r -- _type] .type ≤ ty0, validref(str, r1, ty, st), ty ≤ ty1, is_reftype(ty1), r ≠ r0 ∨ _type ≠ mkfs(class, ty1, fieldvar) ' ⊦ r = jvmref, junkref(str, r, st), st[r -- _type] .type ≤ ty0 ∧ ¬ junkref(str, r, st[r0 -- mkfs(class, ty1, fieldvar) ', refval(r1)])

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [r -- _type, refval(r1), r0 -- mkfs(class, ty1, fieldvar) ', st] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ r = r0 ∧ sk = sk0])], [EXTRATERMS : (r -- _type, refval(r1), r0 -- mkfs(class, ty1, fieldvar) ', st)]]