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Proof step 7 from proof lookup-put-rkvs-mode (previous step)

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

Heuristic weak cut applied rule cut formula

And obtained the following new goals

Proof step 6:
⊦ _mode = r -- sk, (st[rkvs][r -- sk, val][_mode]) = (st[rkvs][_mode]), r = jvmref, r -- sk ∈ rkvs

Rule argument

[fma-arg: _mode = r -- sk]

Additional information

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