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Proof step 6 from proof validref-addarray-other-01 (previous step)

newref(r0, st), st[r -- _type] .type ≤ ty ⊦ r0 = jvmref, r = jvmref, junkref(str, r, st), (addarray(r0, ty0, i, st)[r -- _type]) .type ≤ ty

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rk .ref ≠ r → (addarray(r, ty, i, st)[rk]) = st[rk]
Proof step 5:
⊦ newref(r, st) → junkref(str, r, st)

Rule argument

[speclemmaarg: ,rk .ref ≠ r → (addarray(r, ty, i, st)[rk]) = st[rk] ,[rk, st, i, ty, r] → [r -- _type, st, i, ty0, r0] ,F ,addarray , ,add-at-02 ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ (r -- sk) .ref = r])], [EXTRATERMS : (r -- _type, st, i, ty0, r0)]]