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Proof step 22 from proof validrefkeynotnull-subset (previous step)

st[rk] = refval(r), validref(str, r, ty, st), rk ∈ st, st ⊆ st1, rk ∈ st1 ⊦ r = jvmref, is_referencevalue(st1[rk]) ∧ st1[rk] .refval ≠ jvmref ∧ validref(str, st1[rk] .refval, ty, st1)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 9:
⊦ validref(str, r, ty, st) ↔ r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st)
Proof step 21:
st[rk] = refval(r), r = jvmref ∨ st[r -- _type] .type ≤ ty ∧ ¬ junkref(str, r, st), rk ∈ st, st ⊆ st1, rk ∈ st1 ⊦ r = jvmref, is_referencevalue(st1[rk]) ∧ st1[rk] .refval ≠ jvmref ∧ validref(str, st1[rk] .refval, ty, st1)

Rule argument

[crewrite-arg: validref-def, F, [st, ty, r, str] → [st, ty, r, str]]

Additional information

[[CONCRETESIMPRULES : ()], [EXTRATERMS : (st, ty, r, str)]]