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Proof step 10 from proof validref-put-null (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 9:
validref(str, r, ty, st), is_reftype(ty0), r ≠ r0 ∨ _type ≠ mkfs(class, ty0, fieldvar) ' ⊦ r = jvmref, (st[r0 -- mkfs(class, ty0, fieldvar) ', refval(jvmref)][r -- _type]) .type ≤ ty ∧ ¬ junkref(str, r, st[r0 -- mkfs(class, ty0, fieldvar) ', refval(jvmref)])

Rule argument

[emptyarg]

Additional information

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