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Proof step 6 from proof lookup-put-rkvs-mode (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 5:
⊦ (st[rkvs][r -- sk, val][_mode]) = (st[rkvs][_mode]), r = jvmref, r -- sk ∈ rkvs

Rule argument

[emptyarg]

Additional information

[[CONCRETESIMPRULES : ([CSIMPSEQ : ⊦ r ≠ jvmref → _mode ≠ r -- sk])]]