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Proof step 5 from proof lookup-put-rkvs-mode (previous step)

⊦ (st[rkvs][r -- sk, val][_mode]) = (st[rkvs][_mode]), r = jvmref, r -- sk ∈ rkvs

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 4:
⊦ rk ≠ rk0 → (st[rk0, val][rk]) = st[rk]

Rule argument

[speclemmaarg: ,rk ≠ rk0 → (st[rk0, val][rk]) = st[rk] ,[rk, val, rk0, st] → [_mode, val, r -- sk, st[rkvs]] ,F ,store ,javastore-ostorea ,At-other ]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → _mode ≠ r -- sk])], [EXTRATERMS : (_mode, val, r -- sk, st[rkvs])]]