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Proof step 9 from proof validref-put-refval (previous step)

st[r -- _type] .type ≤ ty0, validref(str, r1, ty, st), ty ≤ ty1, is_reftype(ty1) ⊦ r -- _type = r0 -- 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)])

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 8:
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)])

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r -- sk = r0 -- sk0 ↔ ¬ ¬ (r = r0 ∧ sk = sk0)])]]